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1.Wait times at a certain DMV office follow an exponential distribution. The expected wait time is 39 minutes with a standard deviation of 6 minutes.

1.Wait times at a certain DMV office follow an exponential distribution. The expected wait time is 39 minutes with a standard deviation of 6 minutes. Suppose samples of size 38 are drawn from the population.

a)What is the probability that the mean wait time is at most 38 minutes?

b)What is the probability that the mean wait time that exceeds 41 minutes?

c)Find the value that is two standard deviations below the expected value of the sample mean.

d)Assuming the distribution is normal, what is the probability that a randomly selected person waits between 33 and 41 minutes?

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