Stress is applied to a 20-in. steel bar that is clamped in a fixed position at each end. Let Y = the distance from the left end at which the bar snaps. Suppose Y/20 has a standard beta distribution with
E(y) = 10 and V(y) = 100/4
b. Compute P(8 ≤ Y ≤ 12).
c. Compute the probability that the bar snaps more than 2 in. from where you expect it to.