Given the t distribution with v df: T=Z/sqr((Y/v))
Also given that Z has standard normal distribution and Y is independent chi-square distributed variable with v df.
My question is: find E(Z) and E(Z^2) given Z has a standard normal distribution
Given the t distribution with v df: T=Z/sqr((Y/v))
Also given that Z has standard normal distribution and Y is independent chi-square distributed variable with v df.
My question is: find E(Z) and E(Z^2) given Z has a standard normal distribution