Suppose the strength of a particular metal beam is given by,
S=10+.5T⋅P^2
Where T is a...
Mathematics, 02.06.2021 22:10, JessTaylr04
Suppose the strength of a particular metal beam is given by,
S=10+.5T⋅P^2
Where T is a random variable representing the forging temperature and P is a random variable representing purity. Suppose the following statements are true about these random variables:
.T has a uniform distribution on [0, 2].
. Conditional on a value for T, P is has a normal distribution with mean T/2 and standard deviation T/12. For example E[P|T = 1] = 1/2, and
√V[P|T=1]=σ(P|T=1)=1/12
Required:
Compute the expectation of S.
Answers: 1
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