f(x, y) = x² + y² 62 (a) Find P(X= 2, Y = 1). Ans. where x = 0, 1, 2 and y = 0, 1, 2, 3 and f(x,y) = 0 otherwise. (b) Find P(X21, Y≤ 2). Ans. (c) Find the marginal probability function of X. Ans.

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PRBSTAT Exercises 8 Joint Dist and Moment
Solve each of the following problems:
Write your answer on the space provided.
1. The joint probability function of two discrete random variables X and Y is given by
x² + y²
where x = 0, 1, 2 and y = 0, 1, 2, 3 and f(x,y) = 0 otherwise.
62
f(x, y) =
(a) Find P(X= 2, Y = 1).
Ans.
(b) Find P(X≥ 1, Y≤ 2).
Ans.
(c) Find the marginal probability function of X.
Ans.
(d) Find the marginal probability function of Y.
Ans.
Transcribed Image Text:PRBSTAT Exercises 8 Joint Dist and Moment Solve each of the following problems: Write your answer on the space provided. 1. The joint probability function of two discrete random variables X and Y is given by x² + y² where x = 0, 1, 2 and y = 0, 1, 2, 3 and f(x,y) = 0 otherwise. 62 f(x, y) = (a) Find P(X= 2, Y = 1). Ans. (b) Find P(X≥ 1, Y≤ 2). Ans. (c) Find the marginal probability function of X. Ans. (d) Find the marginal probability function of Y. Ans.
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