Answer Happy

Question a) Suppose random variables x,72 have a joint probability distribution function given by Find the 1 Z matrix f(x, y, z) = 1 + (x+y +2 +1) exp-(nty tz) 4 conditional mean vector and covariance of the random vector xz, given that 4= b) if Ym,n denotes random variable with an T- distribution F with min degrees of freedom, t show that the expected value of " min is finite if < r ln a on -M 2 <r 2 na and c) Deduce that El Ymin) = 1 when n-2 in>4 Var (Ymin) = anal mtn-2) mlm-2) ²Ln-4)