SOLUTION: 2) Suppose 50% of the cars are manufactured in the United States and 15% of these are compact; 30% of the cars are manufactured in Europe and 40% of these are compact; and finally,

Question 1163639: 2) Suppose 50% of the cars are manufactured in the United States and 15% of these are compact; 30% of the cars are manufactured in Europe and 40% of these are compact; and finally, 20% are manufactured in Japan and 60% of these are compact. If a car is picked at random from the lot, find the probability that it is a compact
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

P(compact) =

P((made in America AND compact) OR (made in Europe AND compact) OR (made in Japan AND compact)) =

(0.50)(0.15)+(0.30)(0.40)+(0.20)(0.60) =

0.075+0.12+0.12 = 0.315

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