Let $ X $ be a discrete random variable having the Poisson distribution with parameter $ \mu $. We know that $ E(X) = \mu = \text{var}(X) $. Calculate $ E((X - \mu)^3) $.

Answered: Let X be a discrete random variable…

Let X be a discrete random variable having the Poisson distribution with parameter u. we know that E(x): u=var(x). Calculate E((x-μ)^3)

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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Question

Let $ X $ be a discrete random variable having the Poisson distribution with parameter $ \mu $. We know that $ E(X) = \mu = \text{var}(X) $. Calculate $ E((X - \mu)^3) $.

Expert Solution

Step 1: Write the given information.

Let X be a discrete random variable having a Poisson distribution with parameter $mu$ .

We know that $E left parenthesis x right parenthesis equals space mu equals v a r left parenthesis x right parenthesis$ .

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