Let X be a random variable with the probability distribution below. Find E(X) and E (x²) and then, using these values, evaluate E[(3x + 2)²]. X f(x) Find E(X). E(X)= t - 3 3 6 1 2 9 1 6
Let X be a random variable with the probability distribution below. Find E(X) and E (x²) and then, using these values, evaluate E[(3x + 2)²]. X f(x) Find E(X). E(X)= t - 3 3 6 1 2 9 1 6
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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![Let X be a random variable with the probability distribution below. Find E(X) and E
E (X²)
and then, using these values, evaluate E[(3X + 2)²].
X
f(x)
- 3
1
3
Find E(X).
E(X)=
(Simplify your answer.)
6
72
1
9
1
6
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Transcribed Image Text:Let X be a random variable with the probability distribution below. Find E(X) and E
E (X²)
and then, using these values, evaluate E[(3X + 2)²].
X
f(x)
- 3
1
3
Find E(X).
E(X)=
(Simplify your answer.)
6
72
1
9
1
6
...
Expert Solution
Step 1: Determine the given data
From the provided information,
The probability distribution is as follow:
| x | -3 | 6 | 9 |
| f(x) | 1/3 | 1/2 | 1/6 |
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