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A Government Agency Has 6,000 Employees A What Is the Probability That a Randomly Selected Employee

question 62

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A government agency has 6,000 employees. The employees were asked whether they preferred a four-day work week 10 hours per day), a five-day work week 8 hours per day), or flexible hours. You are given information on the employees' responses broken down by sex.
 Male  Female  Total  Four days 300600900 Five days 1,2001,5002,700 Flexible 3002,1002,400 Total 1,8004,2006,000\begin{array}{l|rr|r} & \text { Male } & \text { Female } & \text { Total } \\\hline \text { Four days } & 300 & 600 & 900 \\\text { Five days } & 1,200 & 1,500 & 2,700\\\text { Flexible } & 300 & 2,100 & 2,400 \\\hline \text { Total } & 1,800 & 4,200 & 6,000\end{array}
a. What is the probability that a randomly selected employee is a man and is in favor of a four-day work week?
b. What is the probability that a randomly selected employee is female?
c. A randomly selected employee turns out to be female. Compute the probability that she is in favor of flexible hours.
d. What percentage of employees is in favor of a five-day work week?
e. Given that a person is in favor of flexible time, what is the probability that the person is female?
f. What percentage of employees is male and in favor of a five-day work week?


Definitions:

Buyer in the Ordinary Course of Business

A term that describes a purchaser who buys goods in good faith from a seller who routinely deals in such goods, without knowledge that the sale violates the rights of a third party.

Good Faith

Honesty in fact.

Goods

All physically existing things that are movable at the time of identification to the contract for sale.

United States Code

A comprehensive consolidation and codification of the general and permanent federal statutes of the United States.

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