According to a flight statistics website, in 2009, a certain airline had the highest percentage of on-time flights in the airlines industry, which was 82.3%.
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 probability that, of the next 30 flights from this airline, less than 22 flights will arrive on time.
P(x<22)= (Round to four decimal places as needed.)