The U.S. Department of Transportation reported that in 2009, Southwest led all domestic airlines in on-time arrivals for domestic flights, with a rate of 0.825. Using the binomial distribution, what is the probability that in the next six flights
a. Four flights will be on time?
b. All six flights will be on time?
c. At least four flights will be on time?
d. What are the mean and standard deviation of the number of on-time arrivals?
e. What assumptions do you need to make in (a) through (c)?