If Z is generated from a uniform distribution on the unit interval, then X = ln(1/(1 − Z)) has an exponential distribution. Use R or S-PLUS to estimate the probability of getting at least one outlier,...

If Z is generated from a uniform distribution on the unit interval, then X = ln(1/(1 − Z)) has an exponential distribution. Use R or S-PLUS to estimate the probability of getting at least one outlier, based on a boxplot, when sampling from this distribution. Discuss the implications for computing a confidence interval for µ.