A 12-in. bar that is clamped at both ends is to be subjected to an increasing amount of stress until it snaps. Let Y = the distance from the left end at which the break occurs. Suppose Y has pdf f(y) (24) (1-12) 0 y 12 {(2) Compute the following:

a. The cdf of Y, and graph it. otherwise

b. P(Y4), P(Y>6), and P(4 y 6)

c. E(Y), E(Y), and V(Y)

d. The probability that the break point occurs more than 2 in. from the expected break point.

e. The expected length of the shorter segment when the break occurs.