Question
2. Let X be a geometric random variable with parameter (the success probability) p. Let Ak be the event that X
is at least k, for any k = 1,2,....
(a) Find P (Ak) = P(X 2 k)
(b) For any n 1, 2, ... . Is P(X = n + k|X >n)
k)? Show all work
P(X
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Transcribed Image Text

2. Let X be a geometric random variable with parameter (the success probability) p. Let Ak be the event that X is at least k, for any k = 1,2,.... (a) Find P (Ak) = P(X 2 k) (b) For any n 1, 2, ... . Is P(X = n + k|X >n) k)? Show all work P(X

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