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.
$P(A) = 0.78$
$P(B|A) = 0.94$
$P(B|A') = 0.79$
$P(C|A \cap B) = 0.75$
$P(C|A \cap B') = 0.59$
$P(C|A' \cap B) = 0.71$
$P(C|A' \cap B') = 0.27$
(a) Construct a tree diagram consisting of first-, second-, and third-generation branches and place an event label and appropriate probability next to each branch.
Tree Diagram
Description
C, 0.25
B', 0.06
A, 0.78
C, 0.41