: Discrete random variables X and Y have the joint PMF| c(r+ y)², x= -1,0, 1; y = -2,0, 2, otherwise. Px.y (x, y) 0,

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Chapter1: Combinatorial Analysis
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Problem 1: Discrete random variables X and Y have the joint PMF
c(x+ y)², x= -1, 0, 1;
y = -2,0, 2,
Px.y (x, y) =
0,
otherwise.
(a) What is the value of the constant c?
(b) What is P[Y < X]?
(c) What is P[Y > X]?
(d) What is P[Y = X]?
(e) What is P[Y < 1]?
Transcribed Image Text:Problem 1: Discrete random variables X and Y have the joint PMF c(x+ y)², x= -1, 0, 1; y = -2,0, 2, Px.y (x, y) = 0, otherwise. (a) What is the value of the constant c? (b) What is P[Y < X]? (c) What is P[Y > X]? (d) What is P[Y = X]? (e) What is P[Y < 1]?
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