Solved: A 12-in. bar that is clamped at both ends is to be
Chapter 4, Problem 99E(choose chapter or problem)
Problem 99E
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.
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