57% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. find the probability that the number who consider themselves baseball fans is (a) exactly five, (b) at least six, and (c) less than four. (a) P(5) = (b) P(X>6) = (c) P(X<4) = (Round to three decimal places as needed.)