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

Jaydon Cabrera

Mathematics

26 September, 22:45

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).,

+3

Answers (1)

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Dalia Banks · Answer 1

The answers are the following:

P (A) = 0.75

P (B|A) = 0.9

P (B| A′) = 0.8

P (C|A∩B) = 0.8

P (C|A∩ B′) = 0.6

P (C| A′ ∩B) = 0.7

P (C| A′ ∩ B′) = 0.3