Problems:
Problem 1: A supplier shipped a lot of six parts to a company. The lot contained three defectiveparts. Suppose the customer decided to randomly select two parts and test them fordefects. How large a sample space is the customer potentially working with? List thesample space. Using the sample space list, determine the probability that the customerwill select a sample with exactly one defect.
Problem 2: Given A = {1, 3, 5, 7, 8, 9}, B = {2, 4, 7, 9}, and C = {1, 2, 3, 4, 7}, solve the following.
Problem 3: If a population consists of the positive even numbers through 30 and if A = {2, 6, 12,24}, what is A?
Problem 4: A company's customer service 800 telephone system is set up so that the caller hassix options. Each of these six options leads to a menu with four options. For each ofthese four options, three more options are available. For each of these three options,another three options are presented. If a person calls the 800 number for assistance,how many total options are possible?
Problem 5: A bin contains six parts. Two of the parts are defective and four are acceptable. Ifthree of the six parts are selected from the bin, how large is the sample space? Whichcounting rule did you use, and why? For this sample space, what is the probabilitythat exactly one of the three sampled parts is defective?
Problem 6: A company places a seven-digit serial number on each part that is made. Each digitof the serial number can be any number from 0 through 9. Digits can be repeated inthe serial number. How many different serial numbers are possible?
Problem 7: A small company has 20 employees. Six of these employees will be selected randomly to be interviewed as part of an employee satisfaction program. How many differentgroups of six can be selected?