Given the pdf of X GEOM(p) S(1 – p)=-'p, if x = 1, 2, 3, ., ∞ f(r) = 0, otherwise Derive the following: (a) cumulative distribution function (b) шеаn (c) variance

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Chapter1: Combinatorial Analysis
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1. Given the pdf of X GEOM(p)
S(1 – p)--'p.
if x = 1,2, 3, ..., ∞
f(x) =
otherwise
Derive the following:
(a) cumulative distribution function
(b) mean
(c) variance
(d) moment generating function
Transcribed Image Text:1. Given the pdf of X GEOM(p) S(1 – p)--'p. if x = 1,2, 3, ..., ∞ f(x) = otherwise Derive the following: (a) cumulative distribution function (b) mean (c) variance (d) moment generating function
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