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After 8:00pm on any Thursday, the amount of time a person spends waiting in line to get into a well-known pub is a random variable represented by X. Suppose we can model the behavior of X with the Exponential probability distribution with a mean of waiting time of 37 minutes. (a) Provide the value of the standard deviation of this distribution. Enter your answer to two decimals. ox= minutes (b) Suppose you are in line to get into the pub. Compute the probability that you will have to wait between 28 and 38 minutes to get in. Answer with four decimals. P(28 < X <38) = (c) It has been 30 minutes since you entered the lineup to get into the pub, and you are still waiting. What is the chance that you will have waited at most 56 minutes, in total? Use four decimals in your answer. P(wait in total at most 56 minutes) =

After 8:00pm on any Thursday, the amount of time a person spends waiting in line to get into a well-known pub is a random variable represented by X. Suppose we can model the behavior of X with the Exponential probability distribution with a mean of waiting time of 37 minutes. (a) Provide the value of the standard deviation of this distribution. Enter your answer to two decimals. ox= minutes (b) Suppose you are in line to get into the pub. Compute the probability that you will have to wait between 28 and 38 minutes to get in. Answer with four decimals. P(28 < X <38) = (c) It has been 30 minutes since you entered the lineup to get into the pub, and you are still waiting. What is the chance that you will have waited at most 56 minutes, in total? Use four decimals in your answer. P(wait in total at most 56 minutes) =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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After 8:00pm on any Thursday, the amount of time a person spends waiting in line to get into a well-known pub is a random variable represented by X. Suppose we can model the behavior of X with the Exponential probability distribution with a mean of waiting time of 37 minutes. (a) Provide the value of the standard deviation of this distribution. Enter your answer to two decimals. ox= minutes (b) Suppose you are in line to get into the pub. Compute the probability that you will have to wait between 28 and 38 minutes to get in. Answer with four decimals. P(28 < X <38) = (c) It has been 30 minutes since you entered the lineup to get into the pub, and you are still waiting. What is the chance that you will have waited at most 56 minutes, in total? Use four decimals in your answer. P(wait in total at most 56 minutes) = (d) 40% of the time, you will wait at most how many minutes to get into this pub? Enter your answer to two- decimals. minutes
Transcribed Image Text:After 8:00pm on any Thursday, the amount of time a person spends waiting in line to get into a well-known pub is a random variable represented by X. Suppose we can model the behavior of X with the Exponential probability distribution with a mean of waiting time of 37 minutes. (a) Provide the value of the standard deviation of this distribution. Enter your answer to two decimals. ox= minutes (b) Suppose you are in line to get into the pub. Compute the probability that you will have to wait between 28 and 38 minutes to get in. Answer with four decimals. P(28 < X <38) = (c) It has been 30 minutes since you entered the lineup to get into the pub, and you are still waiting. What is the chance that you will have waited at most 56 minutes, in total? Use four decimals in your answer. P(wait in total at most 56 minutes) = (d) 40% of the time, you will wait at most how many minutes to get into this pub? Enter your answer to two- decimals. minutes
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