5. Let Y1,Y2,,Yn be independent, exponentially distributed random variables with mean =/2. Show that the mean and variance of the minimum, Y(1)=min(Y1,Y2,,Yn), are E(Y(1))=2n and Var(Y(1))= 4n22. (4).

1. 5. Let Y1,Y2,,Yn be independent, exponentially distributed random variables with mean =/2. Show
that the mean and variance of the minimum, Y(1)=min(Y1,Y2,,Yn), are E(Y(1))=2n and Var(Y(1))=
4n22. (4)