Question
In: Statistics and Probability
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=
equation editor
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)=
equation editor
(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)=
equation editor
(d) 55% of the time, you will wait at most how
many minutes to get into this pub? Enter your answer to
two-decimals.
equation editor
minutes
Solutions
orchestra answered 1 year agoRelated Solutions
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