99. 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)


2 1

4



y



1  1 y

2

 0  y  12 0 otherwise Compute the following:

a. The cdf of Y, and graph it.

b. P(Y  4), P(Y 6), and P(4  Y  6)

c. E(Y), E(Y2

), 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