Answered: 9. A random variable X has the…

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9. A random variable X has the generating function 1 f(z) = (2-z)² Find: a. P(X = 0); b. E(X); c. Var(X).

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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Discrete Probability: Attached is image of the problem. Make sure to show the correct work and solutio and the entire work is legible.

9. A random variable X has the generating function
1
f(z) =
(2-z)²
Find:
a. P(X = 0);
b. E(X);
c. Var(X).

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Step 1: Given Information

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Step 2: The value of P(X=0) is calculated as follows:

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Step 3: b) The E[x] is calculated as

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Step 4: c) Var(x)

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