Let (X, Y) be a pair of jointly continuous random variables with joint density S{(* – y)°, (x,y) E [-1, 1)°, 10, f(x, y) otherwise (a) Compute the marginal density fx. (b) Set up an iterated integral to compute EY], but do not evaluate the integral.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Let (X,Y) be a pair of jointly continuous random variables with joint density
S{x – y)², (x,y) E (-1, 1]²,
f(x, y) =
0,
otherwise
(a) Compute the marginal density fx.
(b) Set up an iterated integral to compute E Y], but do not evaluate the integral.
Transcribed Image Text:Let (X,Y) be a pair of jointly continuous random variables with joint density S{x – y)², (x,y) E (-1, 1]², f(x, y) = 0, otherwise (a) Compute the marginal density fx. (b) Set up an iterated integral to compute E Y], but do not evaluate the integral.
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