A blaster rifle manufacturing facility on Naboo has 5,000 employees. The employees were asked whether they preferred a four­day work week (10 hours per day), a five­day work week (8 hours per day), or flexible hours. You are given information on the employees’ responses broken down by gender and preference.
Reduce all fractions and express your answers as a decimal equivalent, carried to 4 places. DO NOT include a % sign or leading zero when entering your responses! Apply conventional rounding principles. For example, 7/12 would be entered as .5833
  

Male

Female

Total

 
Four Days

700

800

1500

 
Five Days

1000

900

1900

 
Flexible

1300

300

1600

 
TOTAL

3000

2000

5000

(a) What is the probability that a randomly selected employee is male? 
(b) What is the probability that a randomly selected employee is a woman and is in favor of a four ­day work week?
(c) A randomly selected employee turns out to be male. Compute the probability that given the employee is a male, he is in favor of flexible hours.
(d) What percentage of employees are in favor of a four­ day work week?
(e) Given that a person is in favor of flexible time, what is the probability that the person is a male?
(f) What is the probability that a randomly selected employee is either a male or in favor of a five ­day work week?
(g) What is the probability that a randomly selected employee is a female and is not in favor of flexible hours?