Question

If u has a chi-squared distribution with v df, find e(u) and v(u)

Answer 1

E(u) for a chi-squared distribution is equal to v, the number of degrees of freedom, and V(u) is equal to 2v. For a chi-squared distribution with 14 degrees of freedom, E(u) would be 14, and V(u) would be 28.

Step-by-step explanation:

If a random variable u has a chi-squared distribution with v degrees of freedom, the expected value E(u) is equal to the number of degrees of freedom. Therefore, E(u) = v. When it comes to the variance V(u) of the chi-squared distribution, it is twice the number of degrees of freedom, which can be shown as V(u) = 2v. So in the case of a chi-square distribution with df = 14, the expected value would be 14, and the variance would be 28.