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

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86. 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 distribution with E(Y) 10 and V(Y)

10 7

a. What are the parameters of the relevant standard beta distribution?

b. Compute P(8 Y 12).

c. Compute the probability that the bar snaps more than 2 in. from where you expect it to.

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