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Let X be a random variable with expected value E(X) = 1 and variance Var(X) = 4. Find E(3X +2) and Var(3X +2). Find E(X²).

Let X be a random variable with expected value E(X) = 1 and variance Var(X) = 4. Find E(3X +2) and Var(3X +2). Find E(X²).

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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Let \( X \) be a random variable with expected value \( E(X) = 1 \) and variance \( \text{Var}(X) = 4 \). 1. Find \( E(3X + 2) \) and \( \text{Var}(3X + 2) \). 2. Find \( E(X^2) \).
Transcribed Image Text:Let \( X \) be a random variable with expected value \( E(X) = 1 \) and variance \( \text{Var}(X) = 4 \). 1. Find \( E(3X + 2) \) and \( \text{Var}(3X + 2) \). 2. Find \( E(X^2) \).
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