: 'Example 7-37. A random variable X assumes the value 1, 12, ... with probabilitiesU1, Uz ... respectively. Show that1u; e» (^;)* ; ^; > 0, Du; = 1j=0Pkk!=D0 is a probability distribution. Find its generating function and prove that its mean equals E (X)and variance equals V(X) + E(X).

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Answered: 'Example 7-37. A random variable X…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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'Example 7-37. A random variable X assumes the value M, 2, ... with probabilities U1, Uz, ... respectively. Show that E u;e(^,)*; ^; > 0, Eu; = 1 Pk = k!