A blaster rifle manufacturing facility on Naboo has 6,500 employees. The employe
ID: 3058551 • Letter: A
Question
A blaster rifle manufacturing facility on Naboo has 6,500 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 gender.
Male Female Total
Four days 200 300 500
Five days Flexible 1500 1800 3300
700 2000 2700
Total 2400 4100 6500
Use the information from the table to calculate the following probabilities. Reduce all fractions to decimals and express your answers as a percentage.
a. What is the probability that a randomly selected employee is a woman and is in favor of a four-day work week?
b. What is the probability that a randomly selected employee is male or in favor of flexible hours?
c. Given that a randomly selected employee is male, what is the probability he is in favor of a four-day work week?
d. What is the probability that a randomly selected employee is a female or in favor of a five-day work week, but not both?
e. Given that a randomly selected employee is in favor of flexible hours, what is the probability that the person is a female?
Explanation / Answer
A blaster rifle manufacturing facility on Naboo has 6,500 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 gender.
Male Female Total
Four days 200 300 500
Five days Flexible 1500 1800 3300
700 2000 2700
Total 2400 4100 6500
Use the information from the table to calculate the following probabilities. Reduce all fractions to decimals and express your answers as a percentage.
a. What is the probability that a randomly selected employee is a woman and is in favor of a four-day work week?
b. What is the probability that a randomly selected employee is male or in favor of flexible hours?
c. Given that a randomly selected employee is male, what is the probability he is in favor of a four-day work week?
d. What is the probability that a randomly selected employee is a female or in favor of a five-day work week, but not both?
e. Given that a randomly selected employee is in favor of flexible hours, what is the probability that the person is a female?
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