Question

A government agency has 6000 employees. As an alternative to the traditional five day work week, employees were asked whether they preferred a four day work week (10 hours per day) or flexible hours. The employee data provides the results by age category. What is the probability that a randomly selected employee at this government agency prefers a four day work week or is under 30

Answer 1

The table showing the data is missing, so i have attached it.

Answer:

0.8

Explanation:

We want to find the probability that a randomly selected employee at this government agency prefers a four day work week or is under 30.

Now, we are told that the government agency has 6000 employees. Also, from the attached table, we see that the number of people who prefer a 4 day work week are a total of:

600 + 1200 + 2100 = 3900

Thus, probability of people who prefer a 4 day work week = 3900/6000 = 39/60

Also, we see that total number of people aged under 30 = 600 + 300 = 900

Thus, probability of people aged under 30 is;

900/6000 = 3/20

Thus;

probability that a randomly selected employee at this government agency prefers a four day work week or is under 30 = 39/60 + 3/20 = 48/60 = 4/5 = 0.8