Properties of expected value and variance of a continuous random variable. a)Assume that X is a random variable and a and b are constant. With the integral definition of the expected value of a continuous random variable show that E(aX+b)=aE(x)+b and conclude like the theoretical questions of HW 3 , 2a) that V(aX + b) € b)Also using the fact that E(x) is a constant show that . V(X ) V(X) = E[(X – µ)³] = ÈX²) – [E(X)²
Properties of expected value and variance of a continuous random variable. a)Assume that X is a random variable and a and b are constant. With the integral definition of the expected value of a continuous random variable show that E(aX+b)=aE(x)+b and conclude like the theoretical questions of HW 3 , 2a) that V(aX + b) € b)Also using the fact that E(x) is a constant show that . V(X ) V(X) = E[(X – µ)³] = ÈX²) – [E(X)²
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![1. Properties of expected value and variance of a continuous random variable.
a)Assume that X is a random variable and a and b are constant.
With the integral definition of the expected value of a continuous random variable show that E(aX+b)=aE(x)+b
and conclude like the theoretical questions of HW 3 , 2a) that V(aX + b)
b)Also using the fact that E(x) is a constant show that
. V(X )
V(X) = E[(X – µF] = ÈX²) – [E(X)²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F072e444d-1bde-4899-b3c3-9f07885f3d58%2Ff7fe5222-2a62-4a23-94e9-233c1e4dcbed%2F19ysmst_processed.png&w=3840&q=75)
Transcribed Image Text:1. Properties of expected value and variance of a continuous random variable.
a)Assume that X is a random variable and a and b are constant.
With the integral definition of the expected value of a continuous random variable show that E(aX+b)=aE(x)+b
and conclude like the theoretical questions of HW 3 , 2a) that V(aX + b)
b)Also using the fact that E(x) is a constant show that
. V(X )
V(X) = E[(X – µF] = ÈX²) – [E(X)²
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