For customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured in the U.S., B be the event that the refrigerator had an icemaker, and C be the event that the customer purchased an extended warranty. Relevant probabilities are below.
P(A) = 0.80 P(B | A) = 0.94 P(B | A' ) = 0.79
P(C | A ∩ B) = 0.76 P(C | A ∩ B' ) = 0.56
P(C | A' ∩ B) = 0.68 P(C | A' ∩ B' ) = 0.33

(c) Compute P(B ∩ C).

Question

For customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured in the U.S., B be the event that the refrigerator had an icemaker, and C be the event that the customer purchased an extended warranty. Relevant probabilities are below.
P(A) = 0.80        	P(B | A) = 0.94        	P(B | A' ) = 0.79
P(C | A ∩ B) = 0.76	P(C | A ∩ B' ) = 0.56
P(C | A' ∩ B) = 0.68	P(C | A' ∩ B' ) = 0.33

(c) Compute P(B ∩ C).

perl · Answer

I can help you get started.
P( B  & C  ) = P(B) * P( C | B )

anonymous · Answer

Thanks, but I got that. I don't know how to go from there.

perl · Answer

ok, lets use the given probabilities

perl · Answer

I would solve this by making a tree diagram

perl · Answer

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