Q3:Let X be a random variable having Bernoulli distribution with pdff(x) = p*(1- p)-*,x-0,1 zero elsewhere.1- Show that f(x) is pdf.2- Find the mean and variance of the distribution.3- Find the moment generating function of the distribution.

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Answered: Q3:Let X be a random variable having…

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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Q3:Let X be a random variable having Bernoulli distribution with pdf f(x) = p*(1- p)-*,x-0,1 zero elsewhere. 1- Show that f(x) is pdf. 2- Find the mean and variance of the distribution. 3- Find the moment generating function of the distribution.

Q3:Let X be a random variable having Bernoulli distribution with pdf f(x) = p(1- p)-,x-0,1 zero elsewhere. 1- Show that f(x) is pdf. 2- Find the mean and variance of the distribution. 3- Find the moment generating function of the distribution.