1. Let Yi and Yn be, respectively, the first and nth order statistics of a random sample of size n from a distribution of the continuous type having distribution function }{x). Find the smallest value of n such that Pr [}{Yn) - F( Yi ) 0.5] is at least 0.95.
2. Let Y2 and Y,,-= i denote the second and the (n - 1)st order statistics of a random sample of size n from a distribution of the continuous type having distribution function }{x). Compute Pr [}{Y,, _ i ) -}{Y2 ) > p], where O <>I.