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Let X be a discrete random variable with PMF Px(x)=ca²ª, x=1,2,... where 0 < a < 1. (a) Write down an expression for Σa²¹, for |a| < 1. n=0 (b) Obtain c, identify the distribution of X and deduce E[X] and var(X). +∞o

Let X be a discrete random variable with PMF Px(x)=ca²ª, x=1,2,... where 0 < a < 1. (a) Write down an expression for Σa²¹, for |a| < 1. n=0 (b) Obtain c, identify the distribution of X and deduce E[X] and var(X). +∞o

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2 Let X be a discrete random variable with PMF Px(x) = ca²x, x=1,2,... where 0 < a < 1. +∞ (a) Write down an expression for a²n, for |a| < 1. n=0 (b) Obtain c, identify the distribution of X and deduce E[X] and var(X).
Transcribed Image Text:2 Let X be a discrete random variable with PMF Px(x) = ca²x, x=1,2,... where 0 < a < 1. +∞ (a) Write down an expression for a²n, for |a| < 1. n=0 (b) Obtain c, identify the distribution of X and deduce E[X] and var(X).
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