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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

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.

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