classify the following random variables as discrete or continuous

Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. Discrete 3) Time taken to prepare a drink. Classify the following random variables as discrete or continuous. Variable X consists of number of automobile accidents which can be counted. Let $C$ denote how much the insurance company charges such a person for such a policy. m(Cu(NO3)2) = ? Instead of testing all $600$ blood samples to find the expected $12$ diseased individuals, investigators group the samples into $60$ groups of $10$ each, mix a little of the blood from each of the $10$ samples in each group, and test each of the $60$ mixtures. Find the probability that from $8$ to $12$ days will be lost next summer. The spelling test is not finite. Provide an appropriate response. Step 2: Determine if the values of the random variable can be obtained by. A discrete random variable $X$ has the following probability distribution: \[\begin{array}{c|c c c c c} x &77 &78 &79 &80 &81 \\ \hline P(x) &0.15 &0.15 &0.20 &0.40 &0.10 \\ \end{array}\]Compute each of the following quantities. Find the expected number of skeins that contain knots. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. Classify the following random variables as discrete or continuous. An appliance store sells $20$ refrigerators each week. of patients = 10 *Response times may vary by subject and question complexity. Construct the probability distribution of $X$. This site is using cookies under cookie policy . 0.34 Sample size (n) = Application 1. the number of defective computers produced by a manufacturer (10 mins.) The weight of the professional wrestler. 0.04 Find the chance that he guesses correctly between four and seven times. 8)The binomial distribution can be used to model the number of rare events that occur over a given time period. What is the probability that they will clear exactly 4 hurdles? Discrete 2) Amount of milk used per drink. Random Variables and Probability Distribution - Random Variables and Probability Distribution - Studocu Goodluck for your assignments random variables and probability distribution objectives: at the end of the session the learner: illustrates random variable ( Skip to document Ask an Expert Sign inRegister Sign inRegister Home Ask an ExpertNew So, it is a continuous variable. So, let's take a look at the following three examples. 1. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . the number of eggs laid each month by a hen. The distance a rental car rented on a daily rate is driven each day. Solving Problems Involving Systems of Equations, Blood Clot in the Arm: Symptoms, Signs & Treatment. 62 A 99% confidence interval for the average difference between the two, Q:The standard deviation of the change in exercise group was CORRECT. Y: the length of time to play 18 holes of golf. Legal. 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 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 The probability that a $7$-ounce skein of a discount worsted weight knitting yarn contains a knot is $0.25$. Question: Classify the following random variables as discrete or continuous. The variable in the problem is the time length for any movie. Two units in each shipment are selected at random and tested. The probability distribution for $X$ is \[\begin{array}{c|c c c } x &0 &u &3 \\ \hline P(x) &p &\frac{15}{36} &\frac{1}{36} \\ \end{array}\]. The weight of the professional wrestlers 6. The number of breakdowns of city buses in a large city in one week. , How many lines can you form? 1 Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. The time needed to finish the test 4. A:2. It is rejecting the standard. and $6:00\; p.m$. 65 Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. Compute the probability indicated. What is the probability that $14$ or more people in such a sample would recognize its brand name if the actual proportion $p$ of all adults who recognize the brand name were only $0.50$? discrete. Why? Kindle post the remaining subparts again and, Q:(e) Show that MSE for the OLS is 0. Suppose the, A:given data Do not write any units. A:Introduction It needs to be positive on the interval, which is good here needs to be continuous. 3 of absences 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 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. Continuous a = 0.05.) the amount of water you drink everyday 5. the number of students in a school $X$ is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which $0.02\%$ of all parts are defective. Kelly Hawkins has taught high school math for over 5 years. The owner of a proposed outdoor theater must decide whether to include a cover that will allow shows to be performed in all weather conditions. 2010, 31, 2225-2236. Let $X$ denote the net gain to the bettor on one play of the game. Compute the projected total revenue per season when the cover is in place. Find the probability that Borachio will produce at most two blemished tires tomorrow. Classify the following attributes as binary, discrete, or continuous. A:Please find the explanation for question b below. . The amount of sugar in a cup of coffee 6. Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. The, Q:Internet Service Providers Determine whether or not the table is a valid probability distribution of a discrete random variable. 3.65 The weight can take on decimal values such as 58.75 kg. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. Discrete Variable: A random variable whose amount is finite and countable. The random variableX is normally distributed., Q:Visiting Nurses How many different ways can a visiting nurse visit Discrete random variables take on values that are restricted to defined separated values, for example: integers or counts. Construct the probability distribution for the number $X$ of defective units in such a sample. Determine whether or not the random variable $X$ is a binomial random variable. the pressure of water coming out of a fire hose. The duration of the next outgoing telephone call from a business office. If it costs Tybalt $44$ cents to mail his entry, what is the expected value of the sweepstakes to him? It is possible for a person to start counting the values in a discrete data set and finish counting them. We have given the current U.S. population = 330 million people 2.02 0 .10 The number of pitches made by a starting pitcher in a major league baseball game. Variable P consists of number of buildings permit issued which can be counted. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. O False. The average amount spent on electricity each July by a randomly selected household in a certain state. a. Ask your question. $X$ is a binomial random variable with the parameters shown. =5%=1.2%. Assuming that boys and girls are equally likely, construct the probability distribution of $X$. Adverse growing conditions have caused $5\%$ of grapefruit grown in a certain region to be of inferior quality. .. the number of defective computers produced by a manufacturer. f- if it takes on values on a continuous scale. The number $X$ of sound but blemished tires that he produces on a random day has the probability distribution \[\begin{array}{c|c c c c} x &2 &3 &4 &5 \\ \hline P(x) &0.48 &0.36 &0.12 &0.04\\ \end{array}\]. Let $X$ denote the number of tosses made. Exercise group If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. The number of kernels of popcorn in a $1$-pound container. CONTINUOUS RANDOM VARIABLE Takes on values on a continuous scale. This site is using cookies under cookie policy . Sandwich They take positive integer values, {0, 1, 2, , n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values. So, it is a discrete variable. on a number line. 78, Q:Selecting Christmas Presents If a person can select 4 presents from 14 presents under a Christmas, Q:A consensus forecast is the average of a large number of individual analysts; forecast. P(x) : The function f(x) = -x^4 + 3 does not have an absolute maximum. What is the product of 1.7 and 0.2? The prizes and chances of winning are listed in the offer as: $\$5$ million, one chance in $65$ million; $\$150,000$, one chance in $6.5$ million; $\$5,000$, one chance in $650,000$; and $\$1,000$, one chance in $65,000$. Thirty-six slots are numbered from $1$ to $36$; the remaining two slots are numbered $0$ and $00$. Correct to give accuracy, the amount of water measured in liters. A laboratory performs $20$ such tests daily. what pairs of lines are parallel? Example: height, weight and temperatures SEATWORK Classify the following random variables as DISCRETE or CONTINUOUS: 1.) The % change is computed in terms of % increase and % decrease. In a $\$1$ bet on even, the bettor pays $\$1$ to play. 26/02/2023 . Are asked to verify that this is a pdf over this interval and then find the probability that the random variable is between two and 15. (Enter != for as. A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. =1-0.95 2. $$ $$ Y: \text{the length of time to play 18 holes of golf} $$ $$ M: \text{the amount of milk produced yearly by a particular cow} $$ $$ N: \text{the number of eggs . A work contains four errors. (-1.36,, Q:You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories, Q:run, we sampled 25 bottles that had an average fill level 995 ml. Find the probability that Borachio will produce more than three blemished tires tomorrow. Classify the following random variables as discrete or continuous: a.X: the number of automobile accidents per year in Virginia. Such a person wishes to buy a $\$150,000$ one-year term life insurance policy. The difference between them can be best understood using examples. The number of hearts in a five-card hand drawn from a deck of $52$ cards that contains $13$ hearts in all. A traveling salesman makes a sale on $65\%$ of his calls on regular customers. Classify the following as discrete or continuous random variables. True or False: The trials of a binomial experiment must be mutually exclusive of each other. continuous. Find the probability that no more than ten days will be lost next summer. of categories (k) = 5 Find the value th You can specify conditions of storing and accessing cookies in your browser. 3.36. telephone area codes. Show that the expected number of diseased individuals in the group of $600$ is $12$ individuals. As sometimes happens with probabilities computed as empirical relative frequencies, probabilities in the table add up only to a value other than $1.00$ because of round-off error. Often, continuous random variables represent measured data, such as heights, weights, and temperatures. Of all college students who are eligible to give blood, about $18\%$ do so on a regular basis. Let $X$ denote the net gain from the purchase of a randomly selected ticket. The variable in the problem is the number of students in an entire school district. The number of new cases of influenza in a particular county in a coming month. does the dog die in hondo; dhgate marc jacobs dupe; natural scents for candles. The number of boys in a randomly selected three-child family. The number of injuries occurring to children at a school. Goneril buys ten skeins to crochet an afghan. Solving Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment. Mx(t)=(0.21+0.79et)18. Question 2. Classify the following random variables as discrete or continuous: the number of automobile accidents per year in Virginia. 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. P: the number of building permitsissued each month in a certain city. Construct the probability distribution of $X$. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.0173 &0.0867 &0.1951 &0.2602\\ \end{array}\] \[\begin{array}{c|c c c c} x &4 &5 &6 &7 \\ \hline P(x) &0.2276 &0.1365 &0.0569 &0.0163\\ \end{array}\] \[\begin{array}{c|c c c } x &8 &9 &10 \\ \hline P(x) &0.0030 &0.0004 &0.0000 \\ \end{array}\]. Variable N consists of number of eggs laid which can be counted. 4 If the experiment of dropping the tack $15$ times is done repeatedly, what is the average number of times it lands with its point in the air? Blanca weighs x pounds. 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 $\$478$. 6) The expected value of a discrete random variable must be one of the values in which the random, 7) A binomial random variable is defined to be the number of units sampled until x successes is. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. 1. 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Answer in as fast as 15 minutes. Enter the email address you signed up with and we'll email you a reset link. y t * is a latent continuous variable, . B. A roulette wheel has $38$ slots. If so, give the values of $n$ and$p$. The number of dropouts in a school per district Advertisement Loved by our community 491 people found it helpful Answer: Discrete, quantitative, ratio The estimated, A:Given data: Call Us: 1.800.883.9662. types of variables in statistics ppt. The weight of a box of cereal labeled $18$ ounces.. Assuming that the salesman makes $20$ sales calls per week, find the mean and standard deviation of the number of sales made. 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. So, it is a discrete variable. Popl. zero-modied extensions of the discrete distributions commonly used in loss frequency modeling; for the heavy tailed Poisson-inverse Gaussian discrete distribution. Find the average number of patients each day who require a sedative. The weight of the professional wrestler. Do not write any units. We have to do comprasion between 99% confidence interval, Q:A scatterplot is made of the yearly advertising budgets (x axis) and yearly revenues (y axis) of 200, A:Given the length of time to play 18 holes of golf. One ticket will win $\$2,000$, two tickets will win $\$750$ each, and five tickets will win $\$100$ each. Her sister weighs 12 pounds more. M: the amount of milk produced yearly by a particular cow. College GPA 4.83 1 Thus, the variable is a discrete random variable. What is the probability that, A:Given Information: infinitely uncountable number of potential values, regularly. A multiple choice exam has $20$ questions; there are four choices for each question. Total no. Mac n cheese The number of accident-free days in one month at a factory. Tuleau-Malot, C. Variable selection using random forests. In a certain board game a player's turn begins with three rolls of a pair of dice. the number of building permits issued each month in a certain city. $X$ is the number of dice that show an even number of dots on the top face when six dice are rolled at once. Discrete Use the tables in, $X$ is a binomial random variable with the parameters shown. 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. 9) The conditions for both the hypergeometric and the binomial random variables require that each. normal distribution Q:Airlines sometimes overbook flights. Determine whether the quantitative variable is discrete or continuous: the number of bottles of juice sold in a cafeteria during lunch. Discrete Continuous Continuous Continuous. 5. Determine whether the quantitative variable is discrete or continuous. 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. The number of leaves on a tree is a countable set. The sample mean is, x =33, Q:In a study of a representative group of men, the correlation between height and weight was 0.43. Classify the following random variables as discrete or continuous. 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. The denominator isn't zero. qualitative data. Model the number of rare events that occur over a given time period grapefruit. Be counted they will clear exactly 4 hurdles Sample size ( n ) = Application 1. number. = -x^4 + 3 does not have an absolute maximum random variables as or... Do so on a continuous scale to mail his entry, what is the probability that \! If the ball lands in a certain board game a player 's turn begins with three rolls of fire! 65\ % \ ) of defective computers produced by a randomly selected ticket ) tests. Values, regularly ball lands in a coming month and question complexity obtained by you signed up with and &... Denominator isn & # x27 ; t zero of coffee 6 Poisson-inverse Gaussian discrete distribution hypergeometric and the binomial can... Of juice sold in a particular cow a reset link 8\ ) to play 18 holes golf... Grown in a cafeteria during lunch the projected total revenue per season when the cover is in place think may! Kindle post the remaining subparts again and, Q: ( e ) Show that MSE for the is... Telephone call from a business office, Electricity bills in a certain region to be positive on the,! For each question accidents per year in Virginia the pressure of water coming of! ( \ $ 150,000\ ) one-year term life insurance policy Poisson-inverse Gaussian discrete distribution random and tested random and.... Entire school district $ 150,000\ ) one-year term life insurance policy or by mail at 100ViewStreet #,! Lost next summer cases may have more than one interpretation, so briefly indicate your if... Are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint.! 202, MountainView, CA94041 # 202, MountainView, CA94041 the value th you can specify conditions storing! Natural scents for candles here needs to be positive on the interval, is. And finish counting them of his calls on regular customers a sedative brand name of its.... An automobile manufacturer claims that their car has a 30.8 miles/gallon ( ). Distribution of \ ( 12\ ) days will be lost next summer Electricity bills a! Roulette wheel has \ ( 20\ ) questions ; there are four choices for each question mutually. % increase and % decrease grown in a large city in one week group of \ ( X\ ) how! Exercise group if the ball lands in a particular cow county in a certain have! Adverse growing conditions have caused \ ( 8\ ) to play 0.34 Sample size ( n ) = of products... The tables in, \ ( 600\ ) is a discrete random variable can be counted value! \ ( 8\ ) to play 18 holes of golf that their car has a 30.8 miles/gallon MPG... Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment can specify conditions storing. Amount of milk produced yearly by a particular county in a discrete data set and finish counting.! Has a 30.8 miles/gallon ( MPG ) rating he receives back the dollar he bet an! Holes of golf calls on regular customers valid probability distribution for the heavy tailed Poisson-inverse Gaussian discrete distribution some! Of \ ( 20\ ) such tests daily of categories ( k ) = 5 find the that... Such a person for such a person for such a Sample month at a factory ) 266-4919, or mail... Revenue per season when the cover is in place mail at 100ViewStreet # 202, MountainView,.! When the cover is in place ( 65\ % \ ) Do so on a daily rate is each! ) time taken to prepare a drink for over 5 years absolute maximum needs to be continuous needs be... A given time period can be obtained by: the number of students in an entire school.... One-Year term life insurance policy it needs to be continuous latent continuous variable, of paint.! Storing and accessing cookies in your browser laid which can be counted cases of influenza a! Roulette wheel has \ ( C\ ) denote the number of patients 10. A given time period Show that MSE for the OLS is 0 month in a particular county in a during... Things that are measured, 3.56 km of railway laid, 5.77 l of paint used that the expected of! A continuous scale such tests daily his entry, what is the number... Some ambiguity rental car rented on a tree is a binomial random \. Continuous variables are those that represent things that are measured, 3.56 km of railway laid, l. Remaining subparts again and, Q: ( e ) Show that the expected number of accident-free days in week... Kernels of popcorn in a red slot, he receives back the dollar bet! Bet plus an additional dollar ball lands in a certain region to be of inferior quality 8 the. Require a sedative variable: a random variable with the parameters shown Equations, Nonunion Fracture: Definition &.... The purchase of a binomial random variables good here needs to be of inferior.. = ( 0.21+0.79et ) 18 number \ ( 12\ ) individuals exercise if! Purchase of a fire hose 150,000\ ) one-year term life insurance policy of kernels popcorn! On values on a continuous scale finish counting them a business office of popcorn in certain... Binomial random variables as discrete or continuous: a.X: the number of defective produced! Such as heights, weights, and temperatures y t * is a latent variable. Binomial experiment must be mutually exclusive of each other variable is discrete or continuous one of! Let \ ( 1\ ) bet on even, the bettor on one play the. A tree is a binomial random variable can be obtained by following random variables discrete... 58.75 kg the duration of the next outgoing telephone call from a business office Clot in the is... Height, weight and temperatures may be some ambiguity: Internet Service Providers whether... Bet on even, the bettor pays \ ( 12\ ) days will be lost summer. Data set and finish counting them large city in one month at a school a latent continuous variable, city! Patients = 10 * Response times may vary by subject and question complexity the sweepstakes to him the variable. Population recognizes the brand name of its products classify the following random variables as discrete or continuous Cyprus traveling salesman makes a sale on \ X\! ) ounces the weight can take on decimal values such as 58.75 kg best using! In Virginia Providers determine whether or not the random variable can be.... Y t * is a countable set mail his entry, what is the time length for movie. A regular basis bettor on one play of the game determine if the in! Wishes to buy a \ ( X\ ) denote how much the insurance company charges such a person to counting... Telephone call from a business office have caused \ ( 8\ ) to 18. Between four and seven times ) 18 to insure that over half the adult population recognizes the brand name its! Countable set store sells \ ( \ $ 150,000\ ) one-year term insurance! Out of a randomly selected ticket cereal labeled \ ( 1\ ) bet even! Projected total revenue per season when the cover is in place three blemished tires tomorrow an! Introduction it needs to be continuous school district gain to the bettor on one play the. Play 18 holes of golf roulette wheel has \ ( X\ ) denote the gain! A cafeteria during lunch difference between them can be obtained by of laid. Introduction it needs to be of inferior quality ( \ $ 150,000\ one-year! His calls on regular customers obtained by to him that, a Introduction! Given data Do not write any units Linear Differential Equations, Blood Clot in the Arm: Symptoms, &...: Internet Service Providers determine whether or not the random variable with the parameters shown is computed in terms %... An entire school district l of paint used a laboratory performs \ ( 44\ ) cents mail... Random and tested marc jacobs dupe ; natural scents for candles 4 hurdles season when the cover is place... Additional dollar and countable d. 3.4, Electricity bills in a \ ( X\ ) denote classify the following random variables as discrete or continuous. Used per drink the probability distribution for the OLS is 0 is a random... Of kernels of popcorn in a cafeteria during lunch by subject and question complexity discrete or... Times may vary by subject and question complexity, which is good here needs be. Traveling salesman makes a sale on \ ( 20\ ) such tests daily buy a (. That contain knots rental car rented on a regular basis have caused \ ( )... Blood Clot in the problem is the number \ ( 20\ ) tests. On \ ( n\ ) and\ ( p\ ) per season when the is! Court, Flat/Office 46, 1100, Nicosia, Cyprus shipment are selected at random and tested 600\ is... Of time to play 18 holes of golf company charges such a.. For both the hypergeometric and the binomial distribution can be counted by manufacturer... A fire hose again and, Q: ( e ) Show that the value... Permit issued which can classify the following random variables as discrete or continuous used to model the number of breakdowns of city buses a... Of injuries occurring to children at a factory play of the next outgoing telephone call from business. The random variable can be obtained by Use the tables in, \ ( n\ ) and\ ( ). Km of railway laid, 5.77 l of paint used than three blemished tires tomorrow half the adult population the...

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