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5. Suppose the random variable X represents the time it takes to complete orders at The Thoughtful Cup and follows an exponential distribution. a. If there are an average of 15 orders completed per hour, what is the value of A? (Hint: Use the number of orders per hour to calculate the rate.) b. What is the expected value of X? In other words, how much time would you expect each order to take?

5. Suppose the random variable X represents the time it takes to complete orders at The Thoughtful Cup and follows an exponential distribution. a. If there are an average of 15 orders completed per hour, what is the value of A? (Hint: Use the number of orders per hour to calculate the rate.) b. What is the expected value of X? In other words, how much time would you expect each order to take?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I would greatly appreciate it if I could receive help with parts A, B, and E. Thank you.

5. Suppose the random variable X represents the time it takes to complete orders at The Thoughtful Cup and follows an exponential distribution. a. If there are an average of 15 orders completed per hour, what is the value of X? (Hint: Use the number of orders per hour to calculate the rate.) b. What is the expected value of X? In other words, how much time would you expect each order to take? c. What is the standard deviation of X? d. What is the interpretation of part c in the context of this problem? e. What is the probability that the next order will take more than 7 minutes to complete?
Transcribed Image Text:5. Suppose the random variable X represents the time it takes to complete orders at The Thoughtful Cup and follows an exponential distribution. a. If there are an average of 15 orders completed per hour, what is the value of X? (Hint: Use the number of orders per hour to calculate the rate.) b. What is the expected value of X? In other words, how much time would you expect each order to take? c. What is the standard deviation of X? d. What is the interpretation of part c in the context of this problem? e. What is the probability that the next order will take more than 7 minutes to complete?
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