Problem 7: Random variables X and Y have joint PDF 12e-(kr+), r 2 0, y 2 0, Sx.x (2, y) { 0, otherwise. (a) Find P(X +Y s 1).

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Chapter1: Combinatorial Analysis
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Problem 7: Random variables X and Y have joint PDF
12e-(kr+4y), r 2 0, y 2 0,
Sxx (2, y) = {
0,
otherwise.
(a) Find P[X +Y < 1).
(b) Find P(min(X, Y) > 2].
(c) Find P(max(X,Y) < 0.5]
Transcribed Image Text:Problem 7: Random variables X and Y have joint PDF 12e-(kr+4y), r 2 0, y 2 0, Sxx (2, y) = { 0, otherwise. (a) Find P[X +Y < 1). (b) Find P(min(X, Y) > 2]. (c) Find P(max(X,Y) < 0.5]
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