Question: X, Y and Z be three jointly continuous random variables with joint PDF f(x,y,z) = Axyz 2 /9 0

X, Y and Z be three jointly continuous random variables with joint PDF

f(x,y,z) = Axyz2 /9

0

a) Find A = ?

b) Find the joint marginal density function of Y and Z [2]

c) P( 1/4

< x <

1/2

, y >

1/3

, 1 < z < 2 ) = ?

d) P( 0

| y =

1/4

, z = 2) = ?

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