(b) Suppose you are in line to get into the pub. Compute the probability that you will have to wait between 28 and 36 minutes to get Answer with four decimals. P(28 < X <36) = (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 ha waited at most 58 minutes, in total? Use four decimals in your answer. P(wait in total at most 58 minutes) = (d) 50% of the time, you will wait at most how many minutes to get into this pub? Enter your answer to two-decimals. minutes

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Solve part b,c,d

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 40
minutes.
(a) Provide the value of the standard deviation of this distribution. Enter your answer to two decimals.
ox= 40.00 minutes
A
(b) Suppose you are in line to get into the pub. Compute the probability that you will have to wait between 28 and 36 minutes to get in.
Answer with four decimals.
P(28 < X < 36) =
(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 58 minutes, in total? Use four decimals in your answer.
P(wait in total at most 58 minutes)
(d) 50% of the time, you will wait at most how many minutes to get into this pub? Enter your answer to two-decimals.
minutes
O Search
LDW
COMPO
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 40 minutes. (a) Provide the value of the standard deviation of this distribution. Enter your answer to two decimals. ox= 40.00 minutes A (b) Suppose you are in line to get into the pub. Compute the probability that you will have to wait between 28 and 36 minutes to get in. Answer with four decimals. P(28 < X < 36) = (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 58 minutes, in total? Use four decimals in your answer. P(wait in total at most 58 minutes) (d) 50% of the time, you will wait at most how many minutes to get into this pub? Enter your answer to two-decimals. minutes O Search LDW COMPO
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