Let X be a discrete random variable with probability mass function given by 1/4 х — 0 1/2 p(x) = 1/8 = 1 2 1/8 3 a. Verify that p is a valid probability mass function. b. Find P(X > 2). c. Find P(X > 2| X > 1). d. Find P(X > 2 U X > 1). ||

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This is a Statistics problem. Please explain each step thoroughly.

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Let X be a discrete random variable with probability mass function given by
1/4 x = 0
1/2 x
1/8
1/8
p(æ)
3
a. Verify that p is a valid probability mass function.
b. Find P(X > 2).
c. Find P(X > 2 | X > 1).
d. Find P(X > 2UX > 1).
I| || ||||
Transcribed Image Text:Let X be a discrete random variable with probability mass function given by 1/4 x = 0 1/2 x 1/8 1/8 p(æ) 3 a. Verify that p is a valid probability mass function. b. Find P(X > 2). c. Find P(X > 2 | X > 1). d. Find P(X > 2UX > 1). I| || ||||
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