Question

7. Employees of a local university have been classified according to gender and job type as shown below.

Job	Male (M)	Female (F)
Faculty (FA)	110	10
Salaried staff (SS)	30	50
Hourly staff (HS)	60	40

1. (A) If an employee is selected at random what is the probability that the employee is male?

2. (B) If an employee is selected at random what is the probability that the employee is male and salaried staff?

3. (C) If an employee is selected at random what is the probability that the employee is female given that the employee is a salaried member of staff?

4. (D) If an employee is selected at random what is the probability that the employee is female or works as a member of the faculty?

5. (E) If an employee is selected at random what is the probability that the employee is female or works as an hourly staff member?

6. (F) If an employee is selected at random what is the probability that the employee is a member of the hourly staff given that the employee is female?

7. (G) If an employee is selected at random what is the probability that the employee is a member of the faculty?

8. (H) Are gender and type of job mutually exclusive? Explain with probabilities.

(I) Are gender and type of job statistically independent? Explain with probabilities

Answer 1

Given :

Employees of a local university have been classified according to gender and job type.

Job	Male (M)	Female (F)	Total
Faculty (FA)	110	10	120
Salaried staff (SS)	30	50	80
Hourly staff (HS)	60	40	100
Total	200	100	300

Now,

The employee is selected at random,

f) The employee is a member of the hourly staff given that the employee is female is

P ( employee is female of hourly staff) =

= 0.4

g) The probability that the employee is a member of the faculty is

P(employee is member of faculty) =

= 0.4

For remaining please repost the question.