need help with following ### Problem 4**Show that if $ X $ is a discrete random variable with a mean of $ \mu $ and a standard deviation $ \sigma $, then**\[ Z = \frac{X - \mu}{\sigma} \]**is a discrete random variable with a mean of zero and a standard deviation of 1.**

Given: E(X)=μ V(X)=σ2 and now Z=X-μσ

Answered: Problem 4) Show that if X is a discrete…

Problem 4) Show that if X is a discrete random variable a mean of u and a standard deviation o, then X-u Z = is a discrete random variable with a mean of zero and a standard deviation of 1.

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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need help with following

### Problem 4

**Show that if $ X $ is a discrete random variable with a mean of $ \mu $ and a standard deviation $ \sigma $, then**
\[ Z = \frac{X - \mu}{\sigma} \]
**is a discrete random variable with a mean of zero and a standard deviation of 1.**

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