2) Given the following joint distribution fxy=z³y³/16, a) Determine the marginal densities. (0,25 p) b) Are the random variables independent? (0,25 p) e) Compute P(0,5

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2) Given the following joint distribution
fxy = 2³y³/16,
0<r<2,0<y<2
a) Determine the marginal densities. (0,25 p)
b) Are the random variables independent? (0,25 p)
c) Compute P(0,5 <Y < 1). (0,25 p)
d) Compute P(x < 0,5| y=0,5). (0,25 p)
Transcribed Image Text:2) Given the following joint distribution fxy = 2³y³/16, 0<r<2,0<y<2 a) Determine the marginal densities. (0,25 p) b) Are the random variables independent? (0,25 p) c) Compute P(0,5 <Y < 1). (0,25 p) d) Compute P(x < 0,5| y=0,5). (0,25 p)
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