1 answer

7. Suppose the random variables (X, Y) have joint pdf given by Ta ſ cx2y2 if...

Question:

7. Suppose the random variables (X, Y) have joint pdf given by Ta ſ cx2y2 if 0 <x sys1, l o otherwise. a. Find the constant c

7. Suppose the random variables (X, Y) have joint pdf given by Ta ſ cx2y2 if 0 <x sys1, l o otherwise. a. Find the constant c. b. Find the marginal density of X. c. Find the marginal density of Y. d. Are X and Y independent?

Answers

f(ay)=Scxyz if otazyan Po otherwise a). Weknoco that ss fcrip=1 so sfcaydady=1 stih ces dalys y cy? (1 7 ay o pa yo Bigan $faly) = 188 92 b) Marginal density of fx(x) = { faliy) dy = 182?[2! c) Marginal density of y fyly)= Sf (q,y) dx Estezgala = 1

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