Problem 5 (20)

A Human Resources director constructed a two way table to define nine combinations of talent-motivation levels of managerial prospects with the estimate of the probability a prospect will fall in each category. Define the following events:

A: [Prospect places in High Motivation category]

B: [Prospect Places in High Talent category]

C: [Prospect is Medium or Better in both categories]

D: [Prospect places Low in at least one category]

E: [Prospect places Highest in both categories]

Talent

MotivationHighMediumLow

High.05.16.05

Medium.19.32.05

Low.11.05.02

a.Find the probabilities of the following:

Probability of A or B: P(A or B) The Union of A and B

Probability of A or C: P(A or C) The Union of A and C

Probability of A and B: P(A and B) The Intersection of A and B.

b.Find the probability of the compliment of A.

c.Are A and B Independent? Are A and C?

d.Are A and B disjoint events (mutually exclusive)? Are A and C?

e.Draw a Venn Diagram for this data.