According to a flight statisticswebsite, in2009, a certain airline had the highest percentage ofon-time flights in the airlinesindustry, which was 81.5%. Assume this percentage still holds true for that airline. Use the normal approximation to the binomial distribution to complete parts a through c below.

a. Determine the probabilitythat, of the next 30 flights from thisairline, less than 23 flights will arrive on time.

P(x<23)=

(Round to four decimal places asneeded.)

b. Determine the probabilitythat, of the next 30 flights from thisairline, exactly 25 flights will arrive on time.

P(x=25)=

(Round to four decimal places asneeded.)

c. Determine the probabilitythat, of the next 30 flights from thisairline, 24, 25, 26, or 27 flights will arrive on time.

P(24x27)=

(Round to four decimal places asneeded.)