Question: (a) Use the relations in Section 19.4 for continuous variables to determine the expected value and standard deviation for the distribution of f (DY) in

(a) Use the relations in Section 19.4 for continuous variables to determine the expected value and standard deviation for the distribution of f (DY) in Problem.

(b) It is possible to calculate the probability of a continuous variable X between two points (a, b) using the following integral:

P (a ≤ X ≤ b) = ∫ab f(X)dx

Determine the probability that D Y is within 2 standard deviations of the expected value.

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