In a recent survey of computer ownership, 73.4% of the respondents indicated they own PC computers, while 21.8% indicated they own both PC and Mac computers, and 80.1% said they own at least one of the two computers.
a. What is the probability that a respondent owns a Mac computer?
b. Given that a respondent owns a PC, what is the probability that the respondent also owns a Mac?
c. Are events "P" and "M" mutually exclusive? Why or why not? Explain using probabilities.
d. Are the two events "P" and "M" independent? Explain, using probabilities.