Question

66​% 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.

Answer 1

It is convenient to let a statistics calculator app do the math. See the first figure for (a) and (b). See the second figure for (c).

a) 0.14339 . . . . . = 10C5*(0.66⁵)*(0.34)⁵

b) 0.77301

c) 0.02204