According to Bureau of Transportation Statistics, the percent of on time departures from Orlando International Airport during the period from January 1 to September 30, 2010 was 80.5. Assume that this number represents the probability of an on time departure from Orlando during this period of time and that the properties of a binomial distribution are satisfied.
a. If five flights are selected at random, find the probability of each of the following. Round your answers to 4 decimal places.
All five flights departed on time.
At least three of the flights departed on time.
None of the flights departed on time.