Let X and Y be independent and identicall distributed random variables. Denote their common probability distribution function by F and denote their common density function by f. If

V = max{X,Y} and U = min{X,Y}

1.Express the distribution function of V in terms of F and f.

Hint: Begin with Fv(v) = P[V<=v]

2. Express the distribution function of U in terms of F and f.