Employees of a local university have been classified according to gender and job type. 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 the staff?
A).167
B).500
C).625
D)267
E).375

Question

Employees of a local university have been classified according to gender and job type.  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 the staff?
A).167 
B).500 
C).625 
D)267 
E).375

Quizplus · Accepted Answer

The probability of the employee being female and a salaried member of staff is 30/80 = 0.375. The probability of selecting a salaried member of staff from the given data is (20+30)/80 = 0.625. Therefore, using Bayes' theorem, the probability of a salaried member of staff being female is (0.375)/(0.625) = 0.6 or 60%, which is closest to option C (62.5%).

Employees of a Local University Have Been Classified According to Gender