Question: The exponential probability distribution can be used to model waiting time in line or the lifetime of electronic components. Its density function is skewed right.

The exponential probability distribution can be used to model waiting time in line or the lifetime of electronic components. Its density function is skewed right. Suppose the wait-time in a line can be modeled by the exponential distribution with $\mu=\sigma=5$ minutes.

(a) Simulate obtaining a random sample of 15 wait-times.

(b) Explain why constructing a $95 \%$ confidence interval using Student's $t$-distribution is a bad idea. Nonetheless, construct a $95 \%$ confidence interval using Student's $t$-distribution.

(c) Use the data to construct a $95 \%$ confidence interval for the mean using 1000 resamples.

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