You are camping in the middle of a field on a nice summer day with a breeze. You are laying the grass when you realized you can turn this into a probability problem to present to your high school class!

If you experience the cool breeze in all directions, then the uniform distribution is 0 and 2. If Y represents the random variable for breeze direction, then Y U(0, 2).

Calculate:

(a) P(x

(b) E[X^2]