Midwest Airlines has had an 80% on time departure rate. A random sample of 20 flights is selected. Find the probability that a. exactly 15 flights depart on time in the sample. b. at least 17 flights depart on time in the sample. c. less than 11 flights depart on time in the sample. Solution binomial with n = 20 and p = 0.8 a ) P(X = 15) = 0.17455952155688 b ) P(X>=17) = 0.411448861956569 c ) P(X < 11) = 0.00259482740067484.