In: Statistics and Probability
Suppose 85% of the cars this plant produces are cherries. Both cherries and lemons can have Malfunctions in the first year of ownership. Suppose the probability that any car is both cherry and malfunction is .10. If a car is a lemon, the probability is .30 that it will malfunction in the first year.
A) What is the probability that any car is both a lemon and does not malfunction in the first year?
B) What is the probability that any car Malfunctions in the first year?
C) If a car malfunctions in the first year, what is the probability it is a lemon?