Question

	Administrative	Medical	total
Full time	8	3	11
Part time	4	12	16
total	12	15	27

What is the probability that a randomly selected employee works part-time or as a medical employee?

What is the probability that a randomly selected employee works on a full-time basis given that they are an administrative employee? report to 3 decimal places.

Answer 1

a) Let , A be the event that the employee works part-time and B be the event that the employee are medical employee.

Also . be the event that the employee works part-time and as a medical employee

The total number of employee in event A , B and is ,

n(A)=16 , n(B)=15 and

By using teh classical definition of probability ,

Therefore , by using addition rule ,

Therefore , the

probability that a randomly selected employee works part-time or as a medical employee is 0.704

b) Let , A be the event that the employee works on a full-time basis and B be the event that the they are an administrative employee.

Also , be the event that the employee works on a full-time basis and the they are an administrative employee.

The total number of employee in event and B is ,

, n(B)=12

By using classical definition of probability ,

Therefore , by using the definition of conditional probability ,

Theerfore , the probability that a randomly selected employee works on a full-time basis given that they are an administrative employee is 0.667