a. What are the parameters a and ß of the relevant standard beta distribution? α = 3, B = 3 b. Compute P(Y > 12).

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Stress is applied to a 20-in. Steel bar that is clamped in a fixed position at each end. Let
= 10 and
Y be the distance from the left end at which the bar snaps with E(Y)
Y/20 has a standard beta distribution:
Var(Y)
= 100/7. suppose U
f(u; a, ß):
=
α= 3, ß 3
[(a+ß)
Γ(α)Γ(β)
a. What are the parameters a and ß of the relevant standard beta distribution?
b. Compute P(Y > 12).
α-1
u-(1 − u)B-1; 0<u<1.
Transcribed Image Text:Stress is applied to a 20-in. Steel bar that is clamped in a fixed position at each end. Let = 10 and Y be the distance from the left end at which the bar snaps with E(Y) Y/20 has a standard beta distribution: Var(Y) = 100/7. suppose U f(u; a, ß): = α= 3, ß 3 [(a+ß) Γ(α)Γ(β) a. What are the parameters a and ß of the relevant standard beta distribution? b. Compute P(Y > 12). α-1 u-(1 − u)B-1; 0<u<1.
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