A 12-in. bar that is clamped at both ends is to be subjected to an increasing amount of stress until it snaps. Let the distance from the left end at which the break occurs.

Suppose Y has pdf Compute the following:

a. The cdf of Y, and graph it.

b. , and

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

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

E(Y2

)

P(Y # 4), P(Y . 6) P(4 # Y # 6)

f(y) 5 • a 1 24bya1 2 y 12b 0 # y # 12

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