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4. Suppose is a discrete rv with E(9X + 2) = 20 and E(X²) = 13. (a) Find E (X) (b) Find V (X)

4. Suppose is a discrete rv with E(9X + 2) = 20 and E(X²) = 13. (a) Find E (X) (b) Find V (X)

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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4. Suppose \( X \) is a discrete random variable with \( E(9X + 2) = 20 \) and \( E(X^2) = 13 \). (a) Find \( E(X) \) (b) Find \( V(X) \)
Transcribed Image Text:4. Suppose \( X \) is a discrete random variable with \( E(9X + 2) = 20 \) and \( E(X^2) = 13 \). (a) Find \( E(X) \) (b) Find \( V(X) \)
Expert Solution
Step 1

a) We will use the formula E(aX+b)=aE(X)+b

E(9X+2)=20E(9X)+E(2)=209E(X)+2=209E(X)=18E(X)=2

 

Answer: E(X)=2

 

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