Recently the percentage of orders filled correctly at Wendy's was approximately 92%. If a sample of three orders is taken, what are the mean and standard deviation of the binomial distribution for the number of orders filled correctly? Assume that you go to the drive through window at Wendy's and place an order. Two friends of yours independently place orders at the drive through window at the same Wendy's.
In example 5.4 on page 175, you and two friends decided to go to Wendy's. Now, suppose that instead you go to McDonalds, which last month filled approximately 94.5% of the orders correctly. What is the probability that:
a. all three orders will be filled correctly?
b. none of the three will be filled correctly?
c. at least two of the three will be filled correctly?
d. What are the mean and standard deviation of the binomial distribution used in (a) through (c)?