標題:
A Statistics Problem?
發問:
Assume that Y is normally distributed with mean mu and standarddeviation sigma. After observing a value of Y, a mathematician constructsa rectangle with length L = |Y| and width W = 6|Y|. Let Adenote the area of the resulting rectangle. What is E(A)?Could you please show me the steps as well? I really want to... 顯示更多 Assume that Y is normally distributed with mean mu and standard deviation sigma. After observing a value of Y, a mathematician constructs a rectangle with length L = |Y| and width W = 6|Y|. Let A denote the area of the resulting rectangle. What is E(A)? Could you please show me the steps as well? I really want to learn. Thanks.
最佳解答:
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L = |Y| , W = 6|Y| A = L * W = |Y| * 6|Y| = 6Y2 σ2 = E(Y2) - μ2 E(Y2) = σ2 + μ2 E(A) = E(6Y2) = 6E(Y2) = 6(σ2 + μ2)
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