SOLUTION: Let X be a normally distributed random variable with mean (μ)= 4 and standard deviation (σ)=2. If E|X| denotes the expectation of X, then the value of E |X²| is

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Let X be a normally distributed random variable with mean (μ)= 4 and standard deviation (σ)=2. If E|X| denotes the expectation of X, then the value of E |X²| is      Log On


   

Question 1161893: Let X be a normally distributed random variable with mean (μ)= 4 and standard deviation (σ)=2. If E|X| denotes the expectation of X, then the value of E |X²| is
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
The expectation is the average value or mean of a random variable.

That is, the expectation equals the mean, so 

E(X) = μ = 4, 

and 

E(X²) = μ² = 4² = 16.

Edwin