Probability
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1. Suppose that for a 5-year-old automobile, the probability the engine will need repair in year 6 is 0.3, while the probability that the tires need replacing in year 6 is 0.8. The probability that both the engine will need repair and the tires will need replacing in year 6 is 0.2. What is the probability that the tires will need to be replaced and the engine will need repair?
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2. Suppose that for a 5 year old automobile, the probability the engine will need repair in year 6 is 0.3, while the probability that the tires need replacing in year 6 is 0.8. The probability that both the engine will need repair and the tires will need replacing in year 6 is 0.2. If it is known that the tires will need replacing, what is the probability that the engine needs repair?
ANSWER AND EXPLANATION
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(1) I think you mean to ask "What is the probability that the tires will need to be replaced or the engine will need repair" ?
P(Engine) = 0.3, ...
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