Q Chapter 5: Discussions 1. Scheduling Employees: Suppose you own a catering company. You hire temporary employees to act as servers from the local college. Not being the most reliable employees, there is an 80% chance that anyone server will actually show up for a scheduled event. For a wedding scheduled on a given Saturday you need at least 5 servers. (a) Suppose you schedule 5 employees, what is the probability that all 5 come to work? (b) Suppose you schedule 7 employees, what is the probability that at least 5 come to work? (c) How many employees should you schedule in order to be 99% con dent that at least 5 come to work? Hint: There is no single formula for the answer to this problem, you should use some type of trial and error. 2. Resolving Probabilities of Exactly One and At Least One: Suppose the US Transportation Security Administration (TSA) requires 10% of all airplane passengers be randomly selected for a full screening before boarding a plane. Now, suppose you will travel on a plane 8 times in the coming year. (a) What is the probability that you will get screened exactly once?