Find the expected value for the random variable whose probability function graph is displayed here. AP 0.5- 0.4- 0.3- 0.2- 0.1- 1 3 4
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- In an urban area, 31% of dog owners pay for someone to walk their dogs. Morgan asks a random sample of 50 dog owners in this urban area if they pay for someone to walk their dog. What is the probability that more than 30% of the owners in the sample pay for someone to walk their dog? Find the z-table here. 0.439 0.519 0.561 0.586 2.A believer in the "random walk" theory of stock markets thinks the value of an index of stock prices has a 0.6 probability of rising in any year. The change in the value of the index in any given year is not affected by whether it rose or fell in earlier years. You plan to record the value for the index in each of the next eight years. Let the random variable, X, represent the number of years (out of the next 8 years) in which the value of the index rises. a) If X is distributed according to the binomial probability distribution, what are the values for n and p?o b) What are the possible values X can take, or equal? QMETH 201, Homework 3 c) Calculate the probability X = 30 d) Calculate the expected value for X. e) Calculate the standard deviation for X. 4What is the answer to this?
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- The number of calls that a call center gets in an hour is a Poisson random variable. The phone center gets an average of 6 calls per hour. Find the probability that it will be more than 18 minutes until the next call. Answer: _____________________________Cars arrive randomly at a tollbooth at a rate of 23 cars per 20 minutes during rush hour. What is the probability that more than seven cars will arrive over a five-minute interval during rush hour? Multiple Cholce 0.3536 0.2224 0.1312 0.7776Calculate xpectation and variance of X, if the probability distribution of the random variable X is given by X 1 0.3 f - 0 0.1 1 0.1 2 3 0.3 0.2 shodm
- very morning, Laura practices shooting basketball free throws. She doesn’t shoot a fixed amount, instead she keeps shooting free throws until she makes 12. Suppose Laura is an 82% free throw shooter. Let X be how many free throws Laura will miss tomorrow morning. Then X has a negative binomial distribution. What is a trial? What is a success? How many successes are required? r = What is the success probability? p =The Blacktop Speedway is a supplier of automotive parts. Included in stock are 8 speedometers that are correctly calibrated and two that are not. Three speedometers are randomly selected without replacement. Let the random variable a represent the number that are not correctly calibrated. Complete the probability distribution table. (Report probabilities accurate to 4 decimal places.) P(x) 1 3 Find the mean of this probability distribution. (Appropriate rounding rules apply.) mean =A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability model for the number of waiters (X) and chefs (Y) that show up on any given day is given below. X Y 0 1 2 3 0 k 0.03 0.01 0.03 1 0.01 0.04 0.04 0.05 2 0.03 0.02 0.04 0.68 What is the expected total number of staff (waiters and chefs) that will show up on any given day?
