Please help me with this questions. thank you! 2). The random variable x, with distribution dependingrecursion relationshipon parameter & with Rx = {0, 1,2,3,....}. Suppose that it satisfies theP(x = x ) = = P(x = x-1) for x = 1,2,3,...Derive the PMF of X, and find E(X) and var (X)

Given recursion relation is:P(X=x)=θxP(X=x−1) for x=1,2,... \)" data-mce-style="cursor:…

The random variable X, with distribution depending recursion relationship oh Derive the PMF of X, and find E(X) and var (X) parameter with Rx = {0, 112,3,.. P(x = x ) = x² P(x = x-1) for x = 1,2,3,...

The random variable X, with distribution depending recursion relationship oh Derive the PMF of X, and find E(X) and var (X) parameter with Rx = {0, 112,3,.. P(x = x ) = x² P(x = x-1) for x = 1,2,3,...

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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Please help me with this questions. thank you!

2). The random variable x, with distribution depending
recursion relationship
on parameter & with Rx = {0, 1,2,3,....}. Suppose that it satisfies the
P(x = x ) = = P(x = x-1) for x = 1,2,3,...
Derive the PMF of X, and find E(X) and var (X)

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Step 1: Given information:

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Step 2: PMF of X:

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Step 3: Mean and Variance

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