Consider a random variable X with the following probability function: 0.3 if x = 0, 0.2 if æ = 1, f(x) = 0.5 if x = 2, %3D 0 otherwise. (a) Find V(X) using the formula V(X) = E[(X – E(X))*]. (b) Using the result of (a) only, find V(3X + 3).
Consider a random variable X with the following probability function: 0.3 if x = 0, 0.2 if æ = 1, f(x) = 0.5 if x = 2, %3D 0 otherwise. (a) Find V(X) using the formula V(X) = E[(X – E(X))*]. (b) Using the result of (a) only, find V(3X + 3).
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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![Consider a random variable X with the following probability function:
0.3 if x = 0,
0.2 if x = 1,
f(x) =
0.5 if x = 2,
otherwise.
(a) Find V(X) using the formula
V(X) = E[(X – E(X))*].
(b) Using the result of (a) only, find V(3X+ 3).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F293ec77a-bb0f-4498-a317-90c98547c742%2F755d0a9e-7794-403e-ae19-0c4915a2ad6a%2Fvulefdm_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a random variable X with the following probability function:
0.3 if x = 0,
0.2 if x = 1,
f(x) =
0.5 if x = 2,
otherwise.
(a) Find V(X) using the formula
V(X) = E[(X – E(X))*].
(b) Using the result of (a) only, find V(3X+ 3).
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