6 An amateur tennis club purchases tennis balls that have been used previously in professional tournaments. The probability that each such ball fails a standard bounce test is 0.15 . The club purchases boxes each containing 10 of these tennis balls. Assume that the 10 balls in any box represent a random sample.

1. Determine the probability that the number of balls in a box which fail the bounce test is:
   1. at most 2 ;
   2. at least 2;
   3. more than 1 but fewer than 5 .
2. Determine the probability that, in \(\mathbf { 5 }\) boxes, the total number of balls which fail the bounce test is:
   1. more than 5 ;
   2. at least 5 but at most 10 .