A government agency has 3,000 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 300 150 450 Five days 600 750 1,350 Flexible 150 1050 1,200 Total 1050 1,950 3,000 Please answer all the following 4 questions, with a fraction, e.g., 1/4 or as a number between 0 and 1 with two significant digits, e.g., 0.25 or .25. Round your numbers if necessary, e.g., round 0.256 to 0.26, and round 0.253 to 0.25. (a) What is the probability that a randomly selected employee is a man and is in favor of a four-day work week:
A government agency has 3,000 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 |
300 |
150 |
450 |
|
Five days |
600 |
750 |
1,350 |
|
Flexible |
150 |
1050 |
1,200 |
|
Total |
1050 |
1,950 |
3,000 |
Please answer all the following 4 questions, with a fraction, e.g., 1/4 or as a number between 0 and 1 with two significant digits, e.g., 0.25 or .25. Round your numbers if necessary, e.g., round 0.256 to 0.26, and round 0.253 to 0.25.
(a) What is the
(b) A randomly selected employee turns out to be female. Compute the probability that she is in favor of flexible hours:
(c) Given a randomly selected employee is in favor of four-day work week, compute the probability that the employee is male:
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