Question

We know that when ?~?(?,?), ?−? ? ~?(0,1).

(a) Suppose that ?~?(2,2). We would like to calculate ?(−2 < ? < 4). We know that ?(−2 < ? < 4) = ?(? < ? < ?) for a standard random variable ?, i.e., ?~?(0,1). What are the values of ? and ??

(b) Suppose that ?~?(2,1). We would like to calculate ?(−2 < ?). We know that ?(−2 < ?) = ?(? < ?) for a standard random variable ?, i.e., ?~?(0,1). What is the value of ??

Answer 1