Please solve part c 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 36 minutes. (a) Provide the value of the standard deviation of this distribution. Enter your answer to two decimals. σX= 36.00 minutes (b) Suppose you are in line to get into the pub. Compute the probability that you will have to wait between 30 and 37 minutes to get in. Answer with four decimals. P(30≤X≤37)= 0.0768 (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 54 minutes, in total? Use four decimals in your answer. P(wait in total almost 54minutes) = ____________ (d) 45% of the time, you will wait at most how many minutes to get into this pub? Enter your answer to two-decimals. 21.52 minutes
Please solve part c
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 36 minutes.
(a) Provide the value of the standard deviation of this distribution. Enter your answer to two decimals.
σX= 36.00 minutes
(b) Suppose you are in line to get into the pub. Compute the probability that you will have to wait between 30 and 37 minutes to get in. Answer with four decimals.
P(30≤X≤37)= 0.0768
(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 54 minutes, in total? Use four decimals in your answer.
P(wait in total almost 54minutes) = ____________
(d) 45% of the time, you will wait at most how many minutes to get into this pub? Enter your answer to two-decimals. 21.52 minutes
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