Wait times at a certain DMV office follow an Exponential distribution. The expected wait time is 27 minutes. Find the following. Round to two decimals if needed. Answers of 0 and 100% are possíble due to rounding. a. From repeated samples of 36 people, what percentile is a mean wait time of 28 minutes? b. Out of 63 random samples of 36 people, how many would you expect to have a mean wait time of between 28 and 29 minutess? c. From repeated samples of 36 people, find the wait time representing the cutoff for the top 4 percent of mean wait times : d. What percent of random samples of size 36 would you expect to have a mean wait time that exceeds 29 minutes?

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Wait times at a certain DMV office follow an Exponential distribution. The expected wait time is 27
minutes.
Find the following. Round to two decimals if needed. Answers of 0 and 100% are possible due to rounding.
a. From repeated samples of 36 people, what percentile is a mean wait time of 28 minutes?
b. Out of 63 random samples of 36 people, how many would you expect to have a mean wait time of
between 28 and 29 minutess?
c. From repeated samples of 36 people, find the wait time representing the cutoff for the top 4 percent of
mean wait times :
d. What percent of random samples of size 36 would you expect to have a mean wait time that exceeds 29
minutes?
Transcribed Image Text:Wait times at a certain DMV office follow an Exponential distribution. The expected wait time is 27 minutes. Find the following. Round to two decimals if needed. Answers of 0 and 100% are possible due to rounding. a. From repeated samples of 36 people, what percentile is a mean wait time of 28 minutes? b. Out of 63 random samples of 36 people, how many would you expect to have a mean wait time of between 28 and 29 minutess? c. From repeated samples of 36 people, find the wait time representing the cutoff for the top 4 percent of mean wait times : d. What percent of random samples of size 36 would you expect to have a mean wait time that exceeds 29 minutes?
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