Answered: 4.144 Consider a random variable Y with… | bartleby

A First Course in Probability (10th Edition)

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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**Problem 4.144**

Consider a random variable \( Y \) with density function given by:

\[
f(y) = k e^{-y^2/2}, \quad -\infty < y < \infty.
\]

a. Find \( k \).

b. Find the moment-generating function of \( Y \).

c. Find \( E(Y) \) and \( V(Y) \).

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