How were the correct answers of 14, 16, and 0.0188 attained? Let X be a random variable normally distributed with mean μx 3 and standard deviation ox = 4. Let Y = 4X + 2.1. Find the mean μy of Y.2. Find the standard deviation oy of Y.3. Find the PDF fy of Y and evaluate fy (2).(My, oy, fy (2)) = 14.0000,16.0000,0.0188

Let X be a random variable normally distributed with mean x = 3 and standard deviation ax = 4. Let Y = 4X + 2. 1. Find the mean μy of Y. 2. Find the standard deviation oy of Y. 3. Find the PDF fy of Y and evaluate fy (2).

Let X be a random variable normally distributed with mean x = 3 and standard deviation ax = 4. Let Y = 4X + 2. 1. Find the mean μy of Y. 2. Find the standard deviation oy of Y. 3. Find the PDF fy of Y and evaluate fy (2).

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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Question

How were the correct answers of 14, 16, and 0.0188 attained?

Let X be a random variable normally distributed with mean μx 3 and standard deviation ox = 4. Let Y = 4X + 2.
1. Find the mean μy of Y.
2. Find the standard deviation oy of Y.
3. Find the PDF fy of Y and evaluate fy (2).
(My, oy, fy (2)) = 14.0000,16.0000,0.0188

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