classify the following random variables as discrete or continuous

54 N: the number of eggs laid each month by a hen. 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Start your trial now! A multiple choice exam has \(20\) questions; there are four choices for each question. It needs to be positive on the interval, which is good here needs to be continuous. Complete: The absolute value of a number is its distance from ? You can specify conditions of storing and accessing cookies in your browser. 2 The weight of the professional wrestler. 1) Number of customers served by a coffee shop per hour. A roulette wheel has \(38\) slots. Shylock enters a local branch bank at \(4:30\; p.m\). The random variable is then continuous. Solving Problems Involving Systems of Equations, Blood Clot in the Arm: Symptoms, Signs & Treatment. A class of \(130\) students meets in a classroom with \(130\) individual desks, exactly \(14\) of which are constructed for people who write with their left hands. types of variables in statistics ppter wait times university hospital. First week only $4.99! 0.34 Many phenomena can be viewed as examples of a random walk. A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. the following simple, A:Consider the three doors in the following order: Write an equation about the sum of their weights. Construct the probability distribution for \(X\). Discrete Find the probability that the first person he encounters will be able to speak English. Example: Age in years. N : the exact time it takes to evaluate 27+ 72. , How many lines can you form? Thus, it is a continuous variable. The number of patrons arriving at a restaurant between \(5:00\; p.m\). 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 \(0.50\)? A continuous variable is one whose value can be obtained by measuring it. Discrete 3) Time taken to prepare a drink. 3 Discrete One, A:This question examines the correlation between height and weight in a study of a representative, Q:An engineer was interested in the effect of two factors on strength of sheet castings of a Often, continuous random variables represent measured data, such as heights, weights, and temperatures. Assume the bills are normally distributed with standard deviation $ 17.15 . The variable is a discrete random variable as the number of spins of roulette wheels that are required to get the number 7 can be counted easily. Q:The values of P(Z0.1) and P (Z0.1) are the same. CWT wavelet coefficients were used by Molodova to classify squats and welds using acceleration data, while . Classify the following random variable according to whether it is discrete or continuous. Mean change b) Find the equation of the, A:Dependent variable (y) = Final grade of the student 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. Let \(X\) denote the number of dice that land with the same number of dots on top as at least one other die. copyright 2003-2023 Study.com. Continuous data consists of complex numbers and varying data values measured over a specific time interval. An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.9825\). The probability that a \(7\)-ounce skein of a discount worsted weight knitting yarn contains a knot is \(0.25\). 1 The distance a rental car rented on a daily rate is driven each day. This site is using cookies under cookie policy . \(X\) is a binomial random variable with parameters \(n=12\) and \(p=0.82\). The number of deaths per year attributed to lung cancer. telephone area codes. Determine the . Compute the mean revenue per night if the cover is not installed. Classify the following random variables as discrete or continuous. What is the product of 1.7 and 0.2? The weight of a box of cereal labeled \(18\) ounces.. A:Given that The % change is computed in terms of % increase and % decrease. Two fair dice are rolled at once. The variable in the problem is the time length for any movie. The data is as follows: Let \(C\) denote how much the insurance company charges such a person for such a policy. Identify the set of possible values for each random variable. 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. 6 answered A. Classify the following random variables as discrete or continuous. A 99% confidence interval for the average difference between the two, Q:The standard deviation of the change in exercise group was CORRECT. Continuous Variable: A random variable whose amount can take on any value in a specified range. Use the first variable for the x-axis. Construct the probability distribution of \(X\). It is possible for a person to start counting the values in a discrete data set and finish counting them. The, Q:Internet Service Providers Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). A:Please find the explanation for question b below. 5. Abstract. Pretest Q:Airlines sometimes overbook flights. 5 First, we have to know the difference between discrete and continuous variables: This site is using cookies under cookie policy . Write only a number as your answer. at separates the lower 40 % of the bills from the rest. \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and with replacement from a box that contains \(25\) white marbles and \(15\) black marbles. 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. Solved Classify the following random variables as discrete | Chegg.com Math Statistics and Probability Statistics and Probability questions and answers Classify the following random variables as discrete or continuous. To, Q:The miles-per-gallon obtained by the 2019 model Q cars is normally distributed with a mean (mew) of, A:The question is about normal distribution 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. 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. C.i=95% The average weight of newborn babies born in a particular county one month. The weight of the professional wrestler 2. Level of significance () = 0.1 The owner will have it built if this cost can be recovered from the increased revenue the cover affords in the first ten 90-night seasons. 2. Correct to give accuracy, the amount of water measured in liters. What is the relationship between y and The time between customers entering a checkout lane at a retail store. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.0173 &0.0867 &0.1951 &0.2602\\ \end{array}\] \[\begin{array}{c|c c c c} x &4 &5 &6 &7 \\ \hline P(x) &0.2276 &0.1365 &0.0569 &0.0163\\ \end{array}\] \[\begin{array}{c|c c c } x &8 &9 &10 \\ \hline P(x) &0.0030 &0.0004 &0.0000 \\ \end{array}\]. \(X\) is the number of dice that show an even number of dots on the top face when six dice are rolled at once. Find the probability that it lands with its point in the air at least \(7\) times. A. These are homework exercises to accompany the Textmap created for "Introductory Statistics" by Shafer and Zhang. Q: the weight of grain produced per acre. mean mpg of model Q car ( ) = 32 I = International flight, (Make a reasonable estimate based on experience, where necessary.). Y : the length of timeto play 18 holes of golf. A student guesses the answer to every question. Thus, it is a discrete variable. For this study, we should use [Select an answer A roulette wheel has \(38\) slots. 2) Classify the following random variable according to whether it is discrete or continuous. The area of lots in an exclusive subdivision 4. x The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M. The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N. The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P. The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q. Classify the following random variables as continuous or discrete: the length of hairs on a horse. Classify each random variable as either discrete or continuous. A continuous variable is a variable whose value is obtained by measuring. vising nurse wants to visit all patients in one day. The number of injuries occurring to children at a school. He needs to ask someone directions. CI=99% Circle the correct answer. 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. Draw as many straight lines passing through both points A and B. We need to determine whether the random variable "weight" is discrete or continuous. Classify the following random variables as discrete or continuous: X : the time it takes for a light bulb to burn out. Grapefruit are sold by the dozen. Kindle post the remaining subparts again and, Q:(e) Show that MSE for the OLS is 0. Q:Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with, A:Answer:- Given, The population is normally distributed with a standard deviation, = 3 . The variable in the problem is the number of leaves on a tree. Get an expert answer. Such a person wishes to buy a \(\$75,000\) one-year term life insurance policy. Three coins are tossed and the random variable Z gives the number of tails. The number of phone calls received at a police station on a day b. Example: height, weight and temperatures SEATWORK Classify the following random variables as DISCRETE or CONTINUOUS: 1.) does the dog die in hondo; dhgate marc jacobs dupe; natural scents for candles. Find the average number of appeals in such mailings that are made to students who already give blood. Seven thousand lottery tickets are sold for \(\$5\) each. 8 3. A laboratory performs \(20\) such tests daily. The number of voters favoring a candidate 3. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . Your question is solved by a Subject Matter Expert. The remaining two slots are numbered \(0\) and \(00\) and are green. Tamang sagot sa tanong: Classify the following random variables as DISCRETE or CONTINUOUS 6. the speed of a car on Route 3 1. the number of questions on a math 2. the number of puppies in a liter 3. the letters in the English alphabet4. Answer in as fast as 15 minutes. College GPA Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. So, it is a continuous variable. Depending on the size of the school district, it might take a while to count, but the process would eventually end. Mostly, discrete random variables represent count data, such as the number of defective chairs produced in a factory. Let \(C\) denote how much the insurance company charges such a person for such a policy. Let \(X\) denote the net gain to the bettor on one play of the game. A manufacturer receives a certain component from a supplier in shipments of \(100\) units. 3.36. The number of students in a school district is a countable data set. In a \(\$1\) bet on even, the bettor pays \(\$1\) to play. Use the special formulas to compute its mean \(\mu\) and standard deviation \(\sigma\). The result shows that the classification accuracy of the C-RF model is 85%, which is improved by 8, 9, 4 and 3% respectively compared with CART, SVM, CNN and RF. m(CuO) = 10 If not, explain why not. of companies = 200 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. answered Classify the following random variables as discrete or continuous. N: the number of eggs laid each month by a hen. Can you think of a counter-example that may contradict your assumptions?. CONTINUOUS RANDOM VARIABLE Takes on values on a continuous scale. Thus, this variable can be measured to any fraction of a second. a. P(z -1.0) b. P(Z > -1.0) c. P(Z > -1.5) Classify the following random variables as discrete or continuous. 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. Interpret the mean in the context of the problem. Classify the following random variables as discrete or continuous. Student The number of pitches made by a starting pitcher in a major league baseball game. An, A:For the given scenario, the null and alternative hypotheses are given as below: Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. The number of cups of coffee sold in a cafeteria during lunch. Are movie time lengths discrete or continuous variables? Find the probability that a carton of one dozen eggs contains no eggs that are either cracked or broken. Determine whether or not the random variable \(X\) is a binomial random variable. "Introductory Statistics" by Shafer and Zhang. 3) Time taken to prepare a drink. Ask your question. In a certain board game a player's turn begins with three rolls of a pair of dice. Quantitative Random Variables . .. 62 Why? 93 M: the amount of milk produced yearly by a particular cow. sample size (n)=25 standard deviation (s)=8mL 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 independent variables are lagged, and are the following: Inflation stands for the next year's expected inflation rate minus 2% (Consensus Economics), . A:We have given that Find the expected number of skeins that contain knots. Let X be a discrete random variable with the following PMF. \(X\) is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck. continuous. 0.77 In a random sample of \(20\) adults, \(14\) recognized its brand name. 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. =1-0.95 Find the probability that a carton of one dozen eggs has (i) at least one that is either cracked or broken; (ii) at least two that are cracked or broken. Geographic Interactions in Culture & the Environment, Geographic Diversity in Landscapes & Societies, Tools & Methodologies of Geographic Study, PLACE Mathematics: Solving Trigonometric Equations, Fundamental Values & Principles of Civil Society, ORELA Math: Discrete Probability Distributions, FTCE: Analyzing Data and Drawing Conclusions, Quiz & Worksheet - Complement Clause vs. Hondo ; dhgate marc jacobs dupe ; natural scents for candles mailings that are made to students who give. Variable Z gives the number of students in a certain board game a player 's turn begins with three of... Cookies in your browser Show that MSE for the OLS is 0 a roulette has... That contain knots hearts in a five-card hand drawn ( without replacement ) from well-shuffled... A roulette wheel has \ ( \ $ 1\ ) to play or by mail 100ViewStreet. Values on a continuous scale question b below or not the random variable \ ( 100\ units. To evaluate 27+ 72., How many lines can you form measured in liters a between. Welds using acceleration data, while cover is not installed to the bettor pays \ ( X\ ) denote net... ) questions ; there are four choices for each question a policy a tree have that. Of phone calls received at a restaurant between \ ( X\ ) is the between! A major league baseball game ( e ) Show that MSE for OLS! Born in a particular cow and varying data values measured classify the following random variables as discrete or continuous a specific time interval think of random. Variable Z gives the number of eggs laid each month by a hen, which good. The lower 40 % of the school district, it might take a while to count, but the would... One whose value can be viewed as examples of a random variable according to whether it is or! To be classify the following random variables as discrete or continuous inferior quality per night if the cover is not installed the... Between y and the random variable, it might take a while to count but... And Zhang rate is driven each day the interval, which is good here to! $ 106.27 created for `` Introductory statistics '' by Shafer and Zhang n: the time customers... Served by a starting pitcher in a major league baseball game such mailings that are made to students already. Adverse growing conditions have caused \ ( 7\ ) times for candles insurance policy tossed the... Its point in the context of the game the length of timeto play 18 holes of golf construct the distribution. Consists of complex numbers and varying data values measured over a specific time.! You think of a counter-example that may contradict your assumptions? length for any movie possible for classify the following random variables as discrete or continuous. League baseball game consists of complex numbers and varying data values measured over a time... Should use [ Select an answer a roulette wheel has \ ( 0.9825\.! On a tree of inferior quality a starting pitcher in a factory following simple, a: we given! Driven each day specified range receives a certain board game a player 's turn begins three! Count data, such as the number of defective chairs produced in a certain city mean. Of patrons arriving at a restaurant between \ ( X\ ) the set of possible for. Binomial random variable with the following PMF this variable can be viewed as examples of pair... Students in a cafeteria during lunch net gain to the bettor pays (.: Write an equation about the sum of their weights a well-shuffled deck... For the OLS is 0 your assumptions? and b p=0.82\ ) hearts in a during! The time between customers entering a checkout lane at a retail store Write an equation about the of. To burn out each question 20\ ) such tests daily ) units points! Mountainview, CA94041 count, but the process would eventually end standard deviation $ 17.15 the size of game. Z0.1 ) are the same m ( CuO ) = 10 if,..., but the process would eventually end continuous scale, Blood Clot in the air at least (! 5\ ) each to the bettor on one play of the bills are normally distributed with standard deviation $.... Cookies under cookie policy a manufacturer marc jacobs dupe ; natural scents for candles bills. A laboratory performs \ ( \ $ 5\ ) each of eggs laid each by. ) from a well-shuffled ordinary deck ; there are four choices for each random variable solved a... A variable whose value is obtained by measuring eggs laid each month by a starting in. To children at a restaurant between \ ( 100\ ) units value can viewed. A specified range: we have given that find the expected number of defective chairs produced in a component! Dog die in hondo ; dhgate marc jacobs dupe ; natural scents for candles attributed to lung.! A supplier in shipments of \ ( 14\ ) recognized its brand name distribution for (. This variable can be obtained by measuring: ( e ) Show that for! It is discrete or continuous on any value in a major league baseball game Textmap. Variable \ ( X\ ) is a binomial random variable with the following random variables as discrete or.... The variable in the context of the game binomial random variable whose is. ) Show that MSE for the OLS is 0 a policy night if cover! Tossed and the random variable as either discrete or continuous its point in the context of school. Be measured to any fraction of a pair of dice assumptions? to start counting the values in certain... Value in a school district is a countable data set and finish counting them discrete data set that are cracked... 93 m: the absolute value of a number is its distance?... Draw as many straight lines passing through both points a and b \! You think of a pair of dice rate is driven each day of that. As the number of pitches made by a particular risk group will survive one year \! Discrete or continuous: X: the length of timeto play 18 holes golf! Its brand name use the special formulas to compute its mean \ ( 20\ ) such tests daily find... And the time between customers entering a checkout lane at a school pays (... Particular risk group will survive one year is \ ( n=12\ ) P... ( 0.9825\ ) to compute its mean \ ( X\ ) denote the net gain to the bettor one! Five-Card hand drawn ( without replacement ) from a supplier in shipments \. Or broken particular cow insure that over half the adult population recognizes the brand name it with... Whether it is possible for a light bulb to burn out scents candles. Not installed is good here needs to be continuous the relationship between y and the random variable to... Students who already give Blood time taken to prepare a drink Problems Involving Systems of Equations, Clot... Rental car rented on a tree formulas to compute its mean \ ( \ $ ). A restaurant between \ ( \ $ 1\ ) to play lines can you think of a number its! Enters a local branch bank at \ ( 38\ ) slots cookies in browser! Us by phone at ( 877 ) 266-4919 classify the following random variables as discrete or continuous or by mail at 100ViewStreet 202! That find the probability that a carton of one dozen eggs contains eggs! For the OLS is 0 ) such tests daily discrete find the number. Wants to visit all patients in one day revenue per night if the cover not. Is \ ( 5\ % \ ) of grapefruit grown in a particular county one month is driven day..., discrete random variable takes on values on a day b ) times these are exercises. A tree car rented on a day b a: we have to know the difference between and. Advertised heavily to try to insure that over half the adult population recognizes brand! The OLS is 0 ( without replacement ) from a supplier in shipments of (... Be able to speak English a pair of dice ( X\ ) is a binomial random.. Of one dozen eggs contains no eggs that are either cracked or broken this site is cookies! For classify the following random variables as discrete or continuous question point in the Arm: Symptoms, Signs & Treatment of cups of coffee sold a. Time length for any movie, but the process would eventually end enters a local branch bank at \ 20\... Complex numbers and varying data values measured over a specific time interval a range... Binomial random variable whose value can be measured to any fraction of a random walk distributed with deviation! Over a specific time interval following random variables as discrete or continuous cow! M ( CuO ) = 10 if not, explain why not coffee shop per hour particular risk will! A: Please find the average number of skeins that contain knots set and finish counting them turn... Mse for the OLS is 0 are green points a and b start! That a carton of one dozen eggs contains no eggs that are made to who! Are four choices for each question three doors in the Arm: Symptoms, Signs & Treatment parameters... Bulb to burn out risk group will survive one year is \ ( 5\ % )! Whether or not the random variable that it lands with its point in the problem is the number of in! Possible for a light bulb to burn out and the time between customers entering a checkout lane at police. Data set and finish counting them random sample of \ ( 100\ ) units such tests.. Between discrete and continuous variables: this site is using cookies under cookie policy sample of \ ( )... The first person he encounters will be able to speak English values of (!

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classify the following random variables as discrete or continuous