4.The pmf of a geometric distribution with parameter p is givenbyS p(1 – p)" n= 0, 1, 2, ...otherwise.Pn =Assume p> 0. Show that the variance is (1 – p)/p². Hint:ΣEng"(1 – q)²n=0for |g| < 1.

Given the probability mass function of the geometric distribution with parameter p is;…

The pmf of a geometric distribution with parameter p is given by Р(1 — р)" п %3 0, 1, 2, ... otherwise. Pn Assume p> 0. Show that the variance is (1 – p)/p?. Hint: Eng" %3D (1 – q)² n=0 for |g| < 1.

The pmf of a geometric distribution with parameter p is given by Р(1 — р)" п %3 0, 1, 2, ... otherwise. Pn Assume p> 0. Show that the variance is (1 – p)/p?. Hint: Eng" %3D (1 – q)² n=0 for |g| < 1.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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4.
The pmf of a geometric distribution with parameter p is given
by
S p(1 – p)" n= 0, 1, 2, ...
otherwise.
Pn =
Assume p> 0. Show that the variance is (1 – p)/p². Hint:
Σ
Eng"
(1 – q)²
n=0
for |g| < 1.

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