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(Solved): Suppose that the joint pdf of X and Y is given by f(x,y)=24xy,x0,y0,x+y1. Compute P(Y< ...

$Suppose that the joint pdf of \( X \) and \( Y \) is given by \[ f(x, y)=24 x y, \quad x \geq 0, y \geq 0, x+y \leq 1 . \] Co$

Suppose that the joint pdf of

X

and

Y

is given by

f (x, y) = 24 x y, x ? 0, y ? 0, x + y ? 1.

Compute

P (Y < 1/2)

. Round your answer to four decimal places.

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