Jump to content

moment of distribution


kidia

Recommended Posts

I have a question here I will appreciate for any idea,The mean of distribution is 5.The second and third moments about the mean are 20 and 140 respectively.Find the moment of the distribution about 10.

Link to comment
Share on other sites

  • 3 weeks later...

The second and third moment about the mean are the variance and skewness respectively, but in order to answer the question you need to specify which moment you want about 10.

 

This should help

 

E(X) = 5

 

E(X^2) - 25 =20

therefore E(X^2) = 45

 

E(X^3) - 3E(X^2)E(X) + 2 *(E(X))^3 = 140

therefore E(X^3) = 140 +3*45*5 -2*5^3 = 565

Link to comment
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
×
×
  • Create New...

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.