3.4. Suppose 6 62, ... are independent and identically distributed random variables having mean and variance

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3.4. Suppose 6 62, ... are independent and identically distributed random variables having mean μ and variance 0-2. Form the random sum SN=6i +...+6N

(a) Derive the mean and variance of S, when N has a Poisson distribution with parameter A.

(b) Determine the mean and variance of S, when N has a geometric distribution with mean A = (1 - p)lp.

(c) Compare the behaviors in

(a) and

(b) as A - .

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An Introduction To Stochastic Modeling

ISBN: 9780126848878

3rd Edition

Authors: Samuel Karlin, Howard M. Taylor

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Question Posted: Oct 31, 2024 01:00 AM

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3.4. Suppose 6 62, ... are independent and identically distributed random variables having mean and variance 0-2. Form the random sum SN=6i +...+6N (a) Derive the mean and variance of S, when N has...
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3.4. Suppose 6 62, ... are independent and identically distributed random variables having mean and variance

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An Introduction To Stochastic Modeling

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