let x1,x2,...,xn be a random sample of size n from the exponential distri- bution with rate λ. find a 95% confidence interval for λ based on the sample mean. leave your answer in terms of chi-square distribution critical values. (b) let x1,x2,...,x25 be a random sample of size 25 from the exponential distribution with rate λ. the observed sample mean is 3.75. find an exact 95% confidence interval for λ based on the sample mean.