4.1-3. Let the joint pmf of X and Y be defined by f(x, y) = x+y 32 a. Find fx (x), the marginal pmf of X. b. Find fy (y), the marginal pmf of Y. e. Find P(X + Y = 3). x = 1,2, y = 1, 2, 3, 4.

MATLAB: An Introduction with Applications
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4.1-3. Let the joint pmf of X and Y be defined by
x + y
32
f(x, y) =
a. Find fx (x), the marginal pmf of X.
b. Find fy (y), the marginal pmf of Y.
x = 1, 2, y = 1, 2, 3, 4.
e. Find P(X + Y = 3).
f. Find P(X ≤ 3 - Y).
g. Are X and Y independent or dependent? Why or why not?
Transcribed Image Text:4.1-3. Let the joint pmf of X and Y be defined by x + y 32 f(x, y) = a. Find fx (x), the marginal pmf of X. b. Find fy (y), the marginal pmf of Y. x = 1, 2, y = 1, 2, 3, 4. e. Find P(X + Y = 3). f. Find P(X ≤ 3 - Y). g. Are X and Y independent or dependent? Why or why not?
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