Consider r.v.s X and Y with PDF 𝑓 ( 𝑥 , 𝑦 ) = 8 𝑥 𝑦  for  0 < 𝑥 < 𝑦 < 1.   Which of the following will calculate P(X>0.2, Y>0.3) ?  Hint: Sketch the support region and the region of interest.单项选择题

A

∫ 0.3 1 ∫ 0.2 1 8 𝑥 𝑦 𝑑 𝑥 𝑑 𝑦

B

∫ 0.3 1 ∫ 0.2 𝑥 8 𝑥 𝑦 𝑑 𝑥 𝑑 𝑦

C

∫ 𝑦 1 ∫ 0.2 𝑥 8 𝑥 𝑦 𝑑 𝑥 𝑑 𝑦

D

∫ 0.3 1 ∫ 0.2 𝑦 8 𝑥 𝑦 𝑑 𝑥 𝑑 𝑦

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