Let X be a discrete random variable with pmf (a) Find the pmf for Y = X². (b) Find the pmf for U = X + 2. f(x) = px(x) = 1/8, 1/4, 1/4, 1/4, 1/8, 0, x 2 x = -1 x = 0 x = 1 x = 2 otherwise

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67. Let X be a discrete random variable with pmf
(a) Find the pmf for Y = X².
(b) Find the pmf for U = X + 2.
f(x) = px(x) =
1/8,
1/4,
1/4,
1/4,
1/8,
0,
x = -2
x = -1
x = 0
x = 1
x = 2
otherwise
Transcribed Image Text:67. Let X be a discrete random variable with pmf (a) Find the pmf for Y = X². (b) Find the pmf for U = X + 2. f(x) = px(x) = 1/8, 1/4, 1/4, 1/4, 1/8, 0, x = -2 x = -1 x = 0 x = 1 x = 2 otherwise
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