12. The probability that an automobile being filled with gasoline also needs an oil change is 0.25; the probability that it needs a new oil filter is 0.35; and the probability that both the oil and the filter need changing is 0.12. (a) If the oil has to be changed, what is the probability that a new oil filter is needed? (b) If a new oil filter is needed, what is the probability that the oil has to be changed?
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Given: - Probability of an oil change = 0.25 - Probability of a new oil filter = 0.35 - Probability of oil change and new filter = 0.12 We want to find the probability of a new oil filter given an oil change. This can be calculated using the formula for Show more…
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