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.

1. Compute P (O), P (O, given L), P (O, given M).
2. Compute P (O and M) and P (O or M).
3. Compute P (R), P (R, given L), and P (R, given M).
4. Compute P (R and L) and P (R or L).
5. Are the events O and M independent? Explain.
6. Are the events O and M mutually exclusive? Explain.

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