Stress is applied to a 20-in. steel bar that is clamped in a fixed position at each

Question:

Stress is applied to a 20-in. steel bar that is clamped in a fixed position at each end. Let Y = the distance from the left end at which the bar snaps. Suppose Y / 20 has a standard beta with E(Y) = 10 and V(Y) = 100 / 7.
a. What are the parameters of the relevant standard beta Compute P(8 ≤ Y ≤ 12).
c. Compute the probability that the bar snaps more than 2 in. from where you expect it to.
Distribution
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