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In a Recent Survey of Computer Ownership, 73

question 117

Essay

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:

Common Shares

Equity securities that represent ownership in a company, entitling holders to vote at shareholder meetings and receive dividends.

Preferred Shares

A type of stock that provides a fixed dividend before any dividends are paid to common stockholders and often carries no voting rights.

Basic Earnings

The net income divided by the weighted average number of shares outstanding, representing a company's earnings per share without any adjustments.

Common Shares

Equity securities that represent ownership interests in a corporation, providing voting rights and potential dividends to shareholders.

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