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

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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) = 
100
7
.
(a)
What are the parameters of the relevant standard beta distribution?
?=?=
(b)
Compute 
P(2 ≤ Y ≤ 18).
 (Round your answer to three decimal places.)
 
(c)
Compute the probability that the bar snaps more than 8 in. from where you expect it to. (Round your answer to three decimal places.)
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