Generate a sample of 20 from the gamma distribution with λ = 0.1 and r=3. Compute a 90% confidence interval for the mean using (a) the standard normal approximation, (b) the percentile method and (c)...

Generate a sample of 20 from the gamma distribution with λ = 0.1 and r=3. Compute a 90% confidence interval for the mean using (a) the standard normal approximation, (b) the percentile method and (c) the bias-corrected method. Repeat this 1000 times and report the actual coverage probability of the three intervals you constructed.