A 12-in. bar that is clamped at both ends is to be subjected to an increasing amount of...

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

Compute the following:

a. The cdf of Y, and graph it.

b. P(Y ≤ 4),p(> 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.