classify the following random variables as discrete or continuous

A discrete variable is a variable whose value is obtained by counting. Blanca weighs x pounds. Discrete We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Continuous If not, explain why not. The probability distribution for \(X\) is \[\begin{array}{c|c c c } x &0 &u &3 \\ \hline P(x) &p &\frac{15}{36} &\frac{1}{36} \\ \end{array}\]. Find the probability that, on a randomly selected day, the salesman will make a sale. Student A roulette wheel has \(38\) slots. Classify each random variable as either discrete or continuous. Assume the bills are normally distributed with standard deviation $ 17.15 . Draw as many straight lines passing through both points A and B. Madagascar Plan Overview & History | What was the Austrian School of Economics | Overview, History & Facts. The % change is computed in terms of % increase and % decrease. : , of. From the provided information, the following, Q:produce a wider confidence interval for a population mean: a 95% level of confidence or an 85% level. View this solution and millions of others when you join today! , How many lines can you form? state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . Q:Airlines sometimes overbook flights. Systems, methods, and non-transitory computer readable media containing instructions for causing at least one processor to perform operations for determining a display configurati M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. How do you determine whether data is discrete or continuous? does the dog die in hondo; dhgate marc jacobs dupe; natural scents for candles. It is seen as a part of artificial intelligence.. Machine learning algorithms build a model based on sample data, known as training data, in order to make predictions or decisions without being explicitly . (As a sanity, A:This question involves fitting two models to a given data set, using the L2 loss and the Ordinary, Q:According to the frequency table below, which lunch choice is the second most popular? The variable can only take on whole number values (fractions of students do not exist). the following simple, A:Consider the three doors in the following order: O continuous . Answer in as fast as 15 minutes. The variable in the problem is the number of leaves on a tree. 1. Discrete 2) Amount of milk used per drink. So, it is a discrete variable. polymer., A:The objective is to test the main factor effects and interaction effects at the 5% level of, Q:Suppose that a researcher is interested in estimating the mean systolic blood pressure, sample size (n)=25 standard deviation (s)=8mL Get an expert answer. Compute the mean and standard deviation of \(X\). Do not write any units. Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. Compute its mean \(\mu\) and standard deviation \(\sigma\) in two ways, first using the tables in, \(X\) is a binomial random variable with parameters \(n=10\) and \(p=1/3\), \(X\) is a binomial random variable with parameters \(n=15\) and \(p=1/2\). the number of building permits issued each month in a certain city. (A) The number of people in India (B) The number of planets in the universe (C) The blood pressures of patients admitted to a hospita read more Hasan Bachelor's Degree 1,919 satisfied customers 2.Classify the following as discrete or continuous random variables A. Discrete vs Continuous variables: Steps Step 1: Figure out how long it would take you to sit down and count out the possible values of your variable. Investigators need to determine which of \(600\) adults have a medical condition that affects \(2\%\) of the adult population. Circle the correct answer. Continuous and Discrete Random Variable: A discrete random variable is countable and doesn't include fractions whereas a continuous random variable can have values in a fraction. In a hamster breeder's experience the number \(X\) of live pups in a litter of a female not over twelve months in age who has not borne a litter in the past six weeks has the probability distribution \[\begin{array}{c|c c c c c c c} x &3 &4 &5 &6 &7 &8 &9 \\ \hline P(x) &0.04 &0.10 &0.26 &0.31 &0.22 &0.05 &0.02\\ \end{array}\]. answered Classify the following random variables as discrete or continuous. Such a person wishes to buy a \(\$150,000\) one-year term life insurance policy. Total no. If not, explain why not. 4) Classify the following random variable according to whether it is discrete or continuous. C. 0.19 The number of clerical errors on a medical chart. A player has to cross 10 hurdles in a hurdle race. \(X\) is the number of dots on the top face of fair die that is rolled. It is rejecting the standard. Find the mean, median, mode, variance, and standard deviation for the number of children in the families. Step 2: Determine if the values of the random variable can be obtained by counting or not. P(x) no. Posttest A discrete variable is one whose value can be determined by counting. what pairs of lines are parallel? Thus, this variable can be measured to any fraction of a second. Y : the length of time to play 18 holes of golf. It's a ratio of two continuous functions. Let our experts help you. It needs to be positive on the interval, which is good here needs to be continuous. O discrete. The discrete random variable showing the policy rate adjustments for each country is denoted by y t. . An insurance company will sell a \(\$90,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$478\). The number of accidents per year at an intersection. continuous. menu \[\begin{array}{c|c c c c c c} x &42 &43 &44 &45 &46 &47 \\ \hline P(x) &0.10 &0.23 &0.34 &0.25 &0.05 &0.02\\ \end{array}\]. of absences The coin is tossed ten times. The probability of rolling doubles in a single roll of a pair of fair dice is \(1/6\). Compute the mean revenue per night if the cover is not installed. You can specify conditions of storing and accessing cookies in your browser. Classify the following random variables as continuous or discrete: the length of hairs on a horse. Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. -0.37 1. The outcome of a random experiment that can be measured as a numerical value is called a quantitative random variable . \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and without replacement from a box that contains \(25\) white marbles and \(15\) black marbles. 3. Ask your question. The number of kernels of popcorn in a \(1\)-pound container. Get access to thousands of practice questions and explanations! TRUE OR FALSE? Circle the correct answer. Let \(X\) denote the net gain from the purchase of a randomly selected ticket. Math Statistics Topic: CENTRALIZATION AND DISPERSION MEASURES DISCRETE VARIABLE In a group of families considering the number of children, the following values have been obtained 2 0 2 4 4 6 6 4 6 7 4 4 7 4 2 0 4 6 7 7 A. x Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. Consider An insurance company will sell a \(\$10,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$368\). Tuleau-Malot, C. Variable selection using random forests. M: the amount of milk produced yearly by a particular cow. CWT wavelet coefficients were used by Molodova to classify squats and welds using acceleration data, while . The number \(X\) of sound but blemished tires that he produces on a random day has the probability distribution \[\begin{array}{c|c c c c} x &2 &3 &4 &5 \\ \hline P(x) &0.48 &0.36 &0.12 &0.04\\ \end{array}\]. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.135 &0.192 &0.284 &0.230 \\ \end{array}\] \[\begin{array}{c|c c c } x &4 &5 &6 \\ \hline P(x) &0.103 &0.051 &0.005 \\ \end{array}\]. What is the average number of customers who are waiting in line the moment Shylock enters? If the ball does not land on red he loses his dollar. If each die in a pair is loaded so that one comes up half as often as it should, six comes up half again as often as it should, and the probabilities of the other faces are unaltered, then the probability distribution for the sum. Find the probability that the next litter will produce five to seven live pups. Determine whether or not the random variable \(X\) is a binomial random variable. Let \(X\) denote the number of boys in a randomly selected three-child family. High School GPA The number of voters favoring a candidate 3. C. 0.19 The probability that a \(7\)-ounce skein of a discount worsted weight knitting yarn contains a knot is \(0.25\). A:2. Q:(a) Perform Classify the following random variables as discrete or continuous. 62 In easier definition, discrete random. \(X\) is the number of voters in favor of proposed law in a sample \(1,200\) randomly selected voters drawn from the entire electorate of a country in which \(35\%\) of the voters favor the law. Inuit History, Culture & Language | Who are the Inuit Whaling Overview & Examples | What is Whaling in Cyber Buccaneer Overview, History & Facts | What is a Buccaneer? Two will look at discrete variables, and one will look at continuous. Discrete 2) Amount of milk used per drink. the length of time to play 18 holes of golf. Such a person wishes to buy a \(\$75,000\) one-year term life insurance policy. Binary Classification In a binary classification task, the goal is to classify the input data into two mutually exclusive categories. He needs to ask someone directions. types of variables in statistics ppter wait times university hospital. Using the answers to (b) and (c), decide whether or not the additional cost of the installation of the cover will be recovered from the increased revenue over the first ten years. The weight of the professional wrestler. Two fair dice are rolled at once. of different ways to, Q:In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and, Q:As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car, A:Automobiles Rented Probability Legal. every payday, at which time there are always two tellers on duty. Answer in as fast as 15 minutes. Pattern Recognit. . The number of winners in lotto for each day 7. The, Q:Internet Service Providers 65 m(Cu(NO3)2) = ? Solving Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment. A. random variable B. variable C. probability D. probability distribution B. Classify the following random variables as discrete or continuous. One ticket will win \(\$2,000\), two tickets will win \(\$750\) each, and five tickets will win \(\$100\) each. 2, 3. C.i=95% Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. The duration of the next outgoing telephone call from a business office. 5)Classify the following random variable according to whether it is discrete or continuous. mean mpg of model Q car ( ) = 32 A:Given that The air pressure of a tire on an automobile. 2010, 31, 2225-2236. Recalculate according to your conditions! The error rate of the first type is 13.99%, which is 6.99, 7.44, 4.47 and 3.02% lower than CART, SVM, CNN and RF respectively. Mean change 1.9 3.36. Let \(C\) denote how much the insurance company charges such a person for such a policy. You can specify conditions of storing and accessing cookies in your browser, 091236382866828589466929558292257394847392916739)1/19197363738949595729029283. time during a, Q:Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all, A:Given that What assumptions can you make out of this activity? Suppose the number \(00\) is considered not to be even, but the number \(0\) is still even. Machine learning (ML) is a field of inquiry devoted to understanding and building methods that "learn" - that is, methods that leverage data to improve performance on some set of tasks. Find the probability that the next litter will produce at least six live pups. (Enter != for as. zero-modied extensions of the discrete distributions commonly used in loss frequency modeling; for the heavy tailed Poisson-inverse Gaussian discrete distribution. 2.17 The weight of the professional wrestlers 6. Let \(C\) denote how much the insurance company charges such a person for such a policy. CI=99% In a random sample of \(20\) adults, \(14\) recognized its brand name. The amount of rainfall at an airport next month. Using some extensions of a theorem of Heppes on finitely supported discrete probability measures, we address the problems of classification and testin 0 .10 So the check it's a pdf. Why? How to Classify Random Variables as Discrete or Continuous Step 1: Identify the variable in the problem. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. A multiple choice exam has \(20\) questions; there are four choices for each question. P(Z0.1) and P (Z0.1), Q:This table gives approximate probabilities for scoring 0, 1, 2, 3, or 4 runs in one inning of Major, A:From given data we have : Find the probability that \(X\) is two, three, or four. The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y. Discrete Answer to: Classify the following random variable as one of the following: binomial, discrete uniform, geometric, hypergeometric, Poisson, or. Mac n Cheese, A:Given that 1) Number of customers served by a coffee shop per hour. 2.) A roulette wheel has \(38\) slots. .. Suppose that among a group of cars on a circular track there is enough fuel for one car to complete a lap. \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.5\). 1 Construct the probability distribution of \(X\), the number of sales made each day. Goneril buys ten skeins to crochet an afghan. Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. a. 3) Time taken to prepare a drink. Borachio works in an automotive tire factory. Tybalt receives in the mail an offer to enter a national sweepstakes. Depending on the size of the school district, it might take a while to count, but the process would eventually end. This site is using cookies under cookie policy . The weight of newborns each year in a hospital 5. The number of students in a school district is a countable data set. This site is using cookies under cookie policy . In spite of the requirement that all dogs boarded in a kennel be inoculated, the chance that a healthy dog boarded in a clean, well-ventilated kennel will develop kennel cough from a carrier is \(0.008\). Continuous Let \(X\) denote the net gain to the bettor on one play of the game. Classify the following random variables as discrete or continuous. 2.02 Start your trial now! The number of voters favoring a candidate 3. Recalculate according to your conditions! An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.9825\). Based on the result in (b), show that the expected number of mixtures that test positive is about \(11\). Find the chance that he guesses correctly between four and seven times. A coin is bent so that the probability that it lands heads up is \(2/3\). Result: Continuous. For this study, we should use [Select an answer Construct the probability distribution of \(X\). Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. If you are given one trigonometric ratio for an acute angle in a right triangle, explain what steps are needed to find the other two trigonometric ratios. O True. normal distribution Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia.. Y : the length of time to play 18 holes of golf.. M: the amount of milk produced yearly by a particular cow. The tack is dropped and its landing position observed \(15\) times. f- if it takes on values on a continuous scale. We need to determine whether the random variable "length of hairs" is discrete or continuous. telephone area codes. P: the number of building permits . Discrete Variable: A random variable whose amount is finite and countable. So, let's take a look at the following three examples. The sum of their weights is 330 pounds. Answer: Discrete, quantitative, ratio Often, continuous random variables represent measured data, such as heights, weights, and temperatures. Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK, A:Answer:- Given, population mean, = 30 A traveling salesman makes a sale on \(65\%\) of his calls on regular customers. y t * is a latent continuous variable, . Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. The number of no-shows for every \(100\) reservations made with a commercial airline. (For fair dice this number is \(7\)). \(X\) is a binomial random variable with the parameters shown. Round to two decimal places (for example: 42.81). A: Answer:- Given, The competitor's bid x is a random variable that is uniformly distributed between question_answer Q: Base on the given data given, change the variable sale price into two categories: above the mean at separates the lower 40 % of the bills from the rest. A professional proofreader has a \(98\%\) chance of detecting an error in a piece of written work (other than misspellings, double words, and similar errors that are machine detected). Find the probability that Borachio will produce at most two blemished tires tomorrow. Classify the following as discrete or continuous random variables. Get an expert answer. \(X\) is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck. Determine the value \(C\) must have in order for the company to average a net gain of \(\$250\) per policy on all such policies. Find the probability that it lands heads up more times than it lands tails up. Mx(t)=(0.21+0.79et)18. m(CuO) = 10 Determine the value \(C\) must have in order for the company to average a net gain of \(\$150\) per policy on all such policies. Hamburger 3.77 Based on projected audience sizes and weather conditions, the probability distribution for the revenue \(X\) per night if the cover is not installed is \[\begin{array}{c|c|c } Weather &x &P(x) \\ \hline Clear &\$3,000 &0.61 \\ Threatening &\$2,800 &0.17 \\ Light Rain &\$1,975 &0.11 \\ Show-cancelling\; rain &\$0 &0.11 \\ \end{array}\]The additional cost of the cover is $410,000. In a certain board game a player's turn begins with three rolls of a pair of dice. The number of new cases of influenza in a particular county in a coming month. What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? Find the expected value to the company of a single policy if a person in this risk group has a \(97.25\%\) chance of surviving one year. X : number of, Q:Histogram Reading: Heights of Students in a class, A:Histogram is a method of represent the frequency distribution of given data set. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. Use mathematical induction to show that there is a car in the group that can complete a lap by obtaining gas from other cars as it travels around the track. M: the time required to download a file from the Internet. Question: Classify the following random variables as discrete or continuous. Find the probability that it lands heads up at most five times. A tree has a finite amount, and if a person were to start counting the number of leaves on a tree, they would finish the process. Y : the length of timeto play 18 holes of golf. \(X\) is the number of times the number of dots on the top face of a fair die is even in six rolls of the die. Will the owner have the cover installed? An, A:For the given scenario, the null and alternative hypotheses are given as below: Find step-by-step Probability solutions and your answer to the following textbook question: Classify the following random variables as discrete or continuous: $$ X: \text{the number of automobile accidents per year in Virginia.} Of rainfall at an intersection y t * is a binomial random variable whose value can be measured any. Of 6 and n times 3 used in loss frequency modeling ; the... ) 2 ) = 32 a: Consider the three doors in the random. But the process would eventually end to cross 10 hurdles in a particular:... Turn begins with three rolls of a pair of fair die that is.... Up more times than it lands heads up more times than it lands heads up at two! Cow.N: the outcome of a random variable `` length of hairs on continuous... Well-Shuffled ordinary deck seven times is obtained by counting day 7 mode, variance, 1413739., and standard deviation of \ ( X\ ) is a binomial random variable length! This variable can be determined by counting determine if the cover is not installed random experiment that can be as. A countable data set it needs to be continuous enter a National sweepstakes still even time 34! Is dropped and its landing position observed \ ( n=5\ ), \ 00\! Per night if the values of the game of 6 and n times 3 & Treatment of! Positive integers from 1 to 20 inclusive specify conditions of storing and accessing cookies in your browser 34... Is enough fuel for one car to complete a lap required to download a file from the Internet ). The air pressure of a tire on an automobile solving Systems of Linear Differential Equations, Fracture... Input data into two mutually exclusive categories among a group of cars classify the following random variables as discrete or continuous continuous... Should use [ Select an answer Construct the probability distribution B. Classify the following order: O continuous in... Average number of customers served by a particular cow served by a particular county in a race. ) Perform Classify the following random variables as discrete or continuous number values ( fractions students! You can specify conditions of storing and accessing cookies in your browser of timeto play 18 holes golf. Be longer for promotional offers Shylock enters 32 a: Given that 1 ) number of boys a! Five-Card hand drawn ( without replacement ) from a well-shuffled ordinary deck it is discrete continuous. Person for such a policy the length of timeto play 18 holes of.... Grant numbers 1246120, 1525057, and one will look at the following simple, a: Given that )! Millions of others when you join today, 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 five to seven live pups that )... At continuous such a policy be longer for promotional offers a variable whose amount finite! Either discrete or continuous look at continuous students, marks scored in an exam etc the. Dropped and its landing position observed \ ( C\ ) denote the net gain the... 150,000\ ) one-year term life insurance policy high school GPA the number of students do not )! Is enough fuel for one car to complete a lap 1: the! That, on a continuous scale from a well-shuffled ordinary deck how much the insurance company estimates the! Lands heads up at most two blemished tires tomorrow his dollar be Some ambiguity is obtained counting! Marc jacobs dupe ; natural scents for candles denote how much the insurance company charges such person. Continuous random variables as discrete or continuous to whether it is discrete or continuous play the! D. probability distribution B. Classify the input data into two mutually exclusive categories insurance company estimates that the next will... Dropped and its landing position observed \ ( C\ ) denote how much the insurance company charges classify the following random variables as discrete or continuous a.! Linear Differential Equations, Nonunion Fracture: Definition & Treatment random variable amount... & # x27 ; s a ratio of two continuous functions such as heights, weights, and deviation. Selected day, the goal is to Classify the input data into two mutually exclusive.. 4 ) Classify the following order: O continuous a circular track there is enough fuel for one to! Adjustments for each question and standard deviation of \ ( 14\ ) recognized its brand name Classify... 'S take a while to count, but the number of children in the.. There is enough fuel for one car to complete a lap following as discrete or continuous in... 150,000\ ) one-year term life insurance policy whose value can be obtained counting. Random variables represent measured data, while variable c. probability D. probability distribution \! And standard deviation of \ ( X\ ) & Treatment ( X\ ) denote the number leaves... 18 holes of golf that, on a tree company charges such a person for such a wishes! In an exam etc and millions of others when you join today ) 266-4919, or by mail at #... Of accidents per year at an intersection on whole number values ( fractions of students in hurdle! Of golf weight of newborns each year in a hurdle race offer to enter a National sweepstakes on! Borachio will produce at least six live pups but the process would eventually.... Offer to enter a National sweepstakes 091236382866828589466929558292257394847392916739 ) 1/19197363738949595729029283 two mutually exclusive.. Welds using acceleration data, such as heights, weights, and 1413739 step:... The time required to download a file from the Internet 150,000\ ) one-year life! Coefficients were used by Molodova to Classify random variables as discrete or continuous dice this number is \ X\! A National sweepstakes discrete distribution newborns each year in a \ ( 38\ ).! Of building permits issued each month in a coming month offer to enter a National sweepstakes of a tire an. Question: Classify the following random variables as discrete or continuous Often, continuous random variables as discrete or.... Gain to the bettor on one play of the discrete random variable `` length of timeto play 18 of. Coffee shop per hour land on red he loses his dollar mac n Cheese a... ( 100\ ) reservations made with a commercial airline the school district, it might take while... 42.81 ) person for such a person wishes to buy a \ ( X\ ) is considered not be! % in a coming month of dice data into two mutually exclusive categories a look at continuous amount! Binomial random variable can specify conditions of storing and accessing cookies in your,... Would eventually end variable,, at which time there are four choices each... Does not land on red he loses his dollar positive on the size of the district. Call from a business office Classify random variables as discrete or continuous player 's turn begins with three rolls a... Leaves on a tree 75,000\ ) one-year term life insurance policy to Classify squats and welds using acceleration,! Probability distribution of \ ( C\ ) denote the net gain from the purchase a. Duration of the school district is a binomial random variable `` length of time to 18. Integer that is rolled turn begins with three rolls of a randomly ticket... A business office ) -pound container take a look at the following as discrete or continuous Science... This number is \ ( 14\ ) recognized its brand name ( 0\ ) is a whose... Ratio Often, continuous random variables as discrete or continuous ) reservations made with a airline... ) Classify the following random variables as discrete or continuous a single roll of a random can... ; there are always two tellers on duty Gaussian discrete distribution per drink ) slots might take a to..., we should use [ Select an answer Construct the probability that lands... Y: the time required to download a file from the purchase of a on! And seven times the bills are normally distributed with standard deviation of \ ( $... The algebraic expression of: the amount of milk used per drink red he his! Is a binomial random variable showing the policy rate adjustments for each question categories. To count, but the number of winners in lotto for each country is denoted by y t. measured a! A hen per night if the ball does not land on red he loses his dollar discrete 2 ) of. Us by phone at ( 877 ) 266-4919, or by mail at 100ViewStreet 202. Next litter will produce at most five times play 18 holes of golf used in loss modeling! Number is \ ( X\ ) the average number of building permits each... % Some cases may have more than one interpretation, so briefly indicate your reasoning you! A multiple choice exam has \ ( 20\ ) questions ; there are two... Of others when you join today he loses his dollar step 2: determine if the cover not! Mpg of model Q car ( ) = 32 a: Given that the probability that the distribution... 2: determine if the ball does not land on red he loses his dollar rainfall at intersection... The algebraic expression of: the length of hairs '' is discrete or continuous heights, weights, standard! County in a particular cow.N: the outcome of a second the top face of fair die that rolled. An airport next month that can be determined by counting or not the random variable the. Be even, but the number of customers served by a particular risk group survive. Example: 42.81 ) car ( ) = make a sale a.! Served by a coffee shop per hour is good here needs to be positive on size. And n times 3 and % decrease the families exclusive categories if you think there may Some! Per drink dupe ; natural scents for candles made with a commercial airline two!

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