Note that if V < v, both X and Y must be less than v.
Do the same for U. (begin with P(U > u))
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.