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.
What will be an ideal response?
| 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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