Question

17. A company wanted to determine what percentage of its employees stayed for at least 1, 2, and

3 years. The data they compiled is given below and covers 200 male employees and

300 female employees.

1 year 2 years 3 years

Male 0.67 0.45 0.20

Female 0.73 0.64 0.39

What is the probability that an employee stayed for at least one year? Round your answer to

the nearest hundredth.


0.70

0.71

0.06

1.40

Answer 1

Option B. 0.71

Explanation:

There are 200 males and 300 female employees in the company.

The percentage of its employees are given who stayed for at least 1, 2 and 3 years.

1 year 2 years 3 years

Male 0.67 0.45 0.20

Female 0.73 0.64 0.39

Number of male employees who stayed at least one year = 0.67 × 200

= 134

Number of female employees who stayed at least 1 year = 0.73 × 300

= 219

Total employees who stayed at least 1 year = 134 + 219 = 353

Total employees in the company = 200 (males) + 300 (females)

= 500 employees

Probability that an employee stayed for at least one year =
`(353)/(500)`

= 0.706 ≈ 0.71

Option B 0.71 is the answer.