SOLUTION: There are three modes of transporting from NY to Chicago, by plane, by highway, and by rail. About half of the materials are transported by highway, 35% by rail, and 15% by plane.

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Question 870640: There are three modes of transporting from NY to Chicago, by plane, by highway, and by rail. About half of the materials are transported by highway, 35% by rail, and 15% by plane. The percentage of damaged cargo are respectively 12% by highway, 6% by rail, and 2% by plane.
a) what percentage of all cargoes may be expected to be damaged?
b) if a damaged cargo is received, what is the probability that it was shipped by highway?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
a) P = .50%2A.12+%2B+.35%2A.06+%2B+.15%2A.02
b)P(def |Hwy) = .50%2A.12%2F.50 P(A|B) = P(A and B)/P(B)