Question: The following table shows how 558 people applying for a credit card were classified according to home ownership and length of time in present job.

Suppose that a person is chosen at random from the 558 applicants. We will use the following notation for events: O = person owns home; R = person rents home; L = person has had present job less than 2 years; M = person has had present job 2 years or more.

(a) Compute P(O), P(O, given L), P(O, given M).

(b) Compute P(O and M) and P(O or M).

(c) Compute P(R), P(R, given L), and P(R, given M).

(d) Compute P(R and L) and P(R or L).

(e) Are the events O and M independent? Explain.

(f) Are the events O and M mutually exclusive? Explain.