Please answer parts A-C

1. (20 Points Total) A random i.i.d. sample X1, . . ., X, comes from an Exponential population with parameter , whose density function is f(x B) - -1/B. for x > 0. B An observed sample with 100 observations are summarized as follows: Values of X, Frequency 25 50 15 10 a. (6 Points) Determine the MLE of B. b. (5 Points) Is MLE biased? Why? c. (9 Points) Give a 95% confidence interval for B based on the observed sample