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In a Recent Survey of Computer Ownership, 73

question 117

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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 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.


Definitions:

Hypothesis Test

A statistical method used to determine the probability that a hypothesis regarding a specific characteristic of a population is true.

P-value

The p-value is a measure in statistics that helps determine the significance of results, indicating the probability of observing the given results, or more extreme, by chance if a null hypothesis were true.

Democratic Candidate

An individual running for political office who is a member of or endorsed by the Democratic Party.

Surgical Site Infections

Infections that occur after surgery in the part of the body where the surgery took place.

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