Chapter 5, Problem 16PS

In Example 5.4 on page 209, you and two friends decided to go to Wendy’s. Now, suppose that instead you go to Burger Kind, which recently filled approximately $\text{90}\text{.5\%}$ of 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 $\left(\text{a}\right)\text{through}\left(\text{c}\right)?$ interpret these values.

e. Compare the result of $\left(\text{a}\right)\text{through}\left(\text{d}\right)\text{?}$ with those of Wendy’s Example 5.4 on page 209 and McDonald’s in Problem 5.17.