Acompany 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. male 1 year = 0.67, 2 year = 0.45, 3 year = 0.20. female 1 year = 0.73, 2 years = 0.64, 3 years = 0.39. what is the probability that a male employee stayed at least 3 years given that they stayed 1 year? round to the nearest hundredth.

0.298

Step-by-step explanation:

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.

Male

1 year = 0.67

2 year = 0.45

3 year = 0.20

Female

1 year = 0.73

2 years = 0.64

3 years = 0.39.

Let A be the event that a male employee stayed at least 3 years

So,P(A) = 0.20

Let B be the event that they stayed 1 year

So, P(B) = 0.67

Now we are supposed to find the probability that a male employee stayed at least 3 years given that they stayed 1 year

So,  the probability that a male employee stayed at least 3 years given that they stayed 1 year =

                               =

Hence the probability that a male employee stayed at least 3 years given that they stayed 1 year is 0.298.