Question:

Use probability theory to answer the following questions:

1. Give an example (related to the setting of the question) of a simple event.
2. Give an example (related to the setting of the question) of a joint event.
3. Use the information given to complete the contingency table.
4. What is the probability that a tire selected at random is an all weather tire?
5. What is the probability that a tire selected at random fails to last for 40,000 miles?
6. What is the probability that a tire selected at random is either a high performance tire or fails to last for 40,000 miles?
7. What is the probability that a tire selected at random is both an all weather tire and exceeds 40,000 miles of tread life?
8. What is the probability that an all weather tire selected at random exceeds 40,000 miles of tread life?
9. What is the probability that a high performance tire selected at random exceeds 40,000 miles of tread life?

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