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.
b. Do you think the properties of the binomial distribution hold in this situation? Explain.