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Exercise 1. Suppose that X - f(x) = 1(x = 1,2,3,4,5). Compute... (a) E(X), (b) E(X²), and (c) E(X+2)² Hint: (X + 2)2 = X² + 4X + 4

Exercise 1. Suppose that X - f(x) = 1(x = 1,2,3,4,5). Compute... (a) E(X), (b) E(X²), and (c) E(X+2)² Hint: (X + 2)2 = X² + 4X + 4

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Exercise 1. Suppose that X - f(x) =÷1(x = 1,2,3,4,5). Compute... (a) E(X), (b) E(X²), and (c) E(X+2)² Hint: (X + 2)2 = X² + 4X + 4
Transcribed Image Text:Exercise 1. Suppose that X - f(x) =÷1(x = 1,2,3,4,5). Compute... (a) E(X), (b) E(X²), and (c) E(X+2)² Hint: (X + 2)2 = X² + 4X + 4
Expert Solution
Step 1

The distribution of X is given by,

f(x) = 15 if x=1,2,3,4,5

We know Expectation of a random variable X,

E(X) = ∑xx f(x)

and, E(X2) = ∑xx2f(x)

So, 

a.

E(X)= ∑xxf(x)=1×f(1)+2×f(2)+...+5×f(5)=1×15+2×15+...+5×15=15(1+2+..+5) =15×5×62=3

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