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A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question

Transcribed Image Text:60. Given this joint pdf,
(a) Find the conditional pdf of X given Y = y, f(xly).
(b) Find the conditional cdf of X given Y = y, F(xy).
(c) Are X and Y independent? Justify your answer.

Transcribed Image Text:Suppose the location of a particle in the plane is restricted to be within the region of the first quadrant
enclosed by y = 0, y = x², and x = 1 and that the x- and y- coordinates of the point are described by
the jointly continuous random variables X and Y, respectively, with joint pdf
f(x, y) = axyl (0,1)(x) I (0,z²) (y)
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