After 8:00pm on any Thursday, the amount of time a person spends waiting in line to...

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 XX. Suppose we can model the behavior of XX with the Exponential probability distribution with a mean of waiting time of 44 minutes.

(a) Provide the value of the standard deviation of this distribution. Enter your answer to two decimals.

σX=σX=

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minutes

(b) Suppose you are in line to get into the pub. Compute the probability that you will have to wait between 27 and 37 minutes to get in. Answer with four decimals.

P(27≤X≤37)=P(27≤X≤37)=

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(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 57 minutes, in total? Use four decimals in your answer.

P(waitintotalatmost57minutes)=P(waitintotalatmost57minutes)=

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(d) 55% of the time, you will wait at most how many minutes to get into this pub? Enter your answer to two-decimals.

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minutes

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Expert Solution

thank you.

orchestra answered 1 year ago

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