4. Your friend is back generating random numbers! This time the numbers come from a uniform distri

bution on [0, b] where b > 1, and your goal is to guess b by giving a confifidence interval. Here's your plan:

Your friend agrees to generate 4 random numbers from the distribution; you'll let M be the maximum of

these four numbers and report the interval [M, M + 1].

[4 points] a. Calculate the confifidence level of this confifidence procedure. Your answer may or may

not depend on b. [WISE]

[2 points] b. Write some R code that checks your answer to part a. You should assume b = 5 in

your code. List your code, the value from your simulation, and the exact value you should get based on

your answer from part a. (If you know how to include a screenshot of your code, we prefer this.