Question: A large insurance company is interested in studying the insurance policies held by married couples. In particular, the insurance company is interested in the amount of insurance held by the husbands and the wives. The insurance company collected data for

all its policies where both the husband and wife are insured. The results are summarized in the following table.

Use the information from the table to answer the following problems

1. For a randomly selected policy, what is the probability that the husband will have between $50,000 and $100,000 of insurance?
2. For a randomly selected policy, what is the probability that the wife will have more than $150,000 of insurance or the husband will have more than $150,000 of insurance?
3. For a randomly selected policy, what is the probability that the wife will have between $0 and $50,000 of insurance and the husband will have between $0 and $50,000 of insurance?
4. For a randomly selected policy, what is the probability that the wife will not have between $0 and $50,000 of insurance?
5. For a randomly selected policy, what is the probability that the husband will have more than $50,000 of insurance?
6. Are the events {the wife has more than $150,000 in insurance} and {the husband has between $50,000 and $100,000 of insurance} mutually exclusive? Explain.
7. Given that the husband has between $0 and $50,000 of insurance, what is the probability that the wife will have more than $150,000 of insurance?
8. Are the events {the husband has more than $150,000 in insurance} and {the wife has more than $50,000 of insurance} independent? Explain.

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