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.
a. 0.285
b. 0.297
c. No, because P(P ? M) ? 0
d. No, because P(P ? M) ? P(P) P(M)
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