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,...

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 30E
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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)
Transcribed Image Text: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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