Suppose that f(x) = 0.25 for 0 < x < 4. Determine the mean and variance of X.

Cem Hayes

Cem Hayes

Answered question

2021-09-12

Suppose that f(x)=0.25for0<x<4. Calculate X's mean and variance.

Answer & Explanation

Layton

Layton

Skilled2021-09-13Added 89 answers

Let f denote the probability density function of the random variable X:
f(x)=0.25, 0 Calculate:
E(X)=040.25x dx =0.25×422=2
E(X2)=040.25x2 dx =0.25×433=163
Var(X)=16322=43
Results:
Mean: 2, Variance 43

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?