To develop programs for business travelers staying at convention hotels, Hyatt Hotels Corp. commissioned a study of executives who play golf. The study revealed that 55% of the executives admitted that they had cheated at golf. There were 15% of the executives admitted that they had lied in business. Also, 10% of the executives admitted that they had cheated at golf and had lied in business.

a. Let A represent the event that an executive had cheated at golf. Let B represent the event that an executive had lied in business. Complete the following joint probability table and reproduce the table on your answer paper.

b. Given that an executive had cheated at golf, what is the probability that the executive also had lied in business?

c. Given that an executive had not lied in business, what is the probability that he had cheated at golf?

d. Are the events ?Cheated at golf? and ?Lied in business? mutually exclusive? Justify your answer statistically.

e. Are the events ?Cheated at golf? and ?Lied in business? independent? Justify your answer statistically.

BB B' 0.55 A' 0.15 1