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63. For customers purchasing a refrigerator at a cer- tain appliance store, let A be the event that the refrig- erator 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 war- ranty. Relevant probabilities are P(A) = .75 P(B|A) = .9 P(B|A') = .8 P(CAB) = .8 P(C|AB') = .6 P(C|A' B) = .7 P(C|A' B') = .3 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. b. Compute P(AN BN C). c. Compute P(BC). d. Compute P(C). e. Compute P(ABC), the probability of a U.S. pur- chase given that an icemaker and extended warranty are also purchased.

63. For customers purchasing a refrigerator at a cer- tain appliance store, let A be the event that the refrig- erator 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 war- ranty. Relevant probabilities are P(A) = .75 P(B|A) = .9 P(B|A') = .8 P(CAB) = .8 P(C|AB') = .6 P(C|A' B) = .7 P(C|A' B') = .3 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. b. Compute P(AN BN C). c. Compute P(BC). d. Compute P(C). e. Compute P(ABC), the probability of a U.S. pur- chase given that an icemaker and extended warranty are also purchased.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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How can I answer letters d and e of question 63?

63. For customers purchasing a refrigerator at a cer- tain appliance store, let A be the event that the refrig- erator 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 war- ranty. Relevant probabilities are P(A) = .75 P(B|A) = .9 P(B|A') = .8 P(CAB) = .8 P(C|AB') = .6 P(C|A' B) = .7 P(C|A' B') = .3 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. b. Compute P(AN BN C). c. Compute P(BC). d. Compute P(C). e. Compute P(ABC), the probability of a U.S. pur- chase given that an icemaker and extended warranty are also purchased.
Transcribed Image Text:63. For customers purchasing a refrigerator at a cer- tain appliance store, let A be the event that the refrig- erator 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 war- ranty. Relevant probabilities are P(A) = .75 P(B|A) = .9 P(B|A') = .8 P(CAB) = .8 P(C|AB') = .6 P(C|A' B) = .7 P(C|A' B') = .3 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. b. Compute P(AN BN C). c. Compute P(BC). d. Compute P(C). e. Compute P(ABC), the probability of a U.S. pur- chase given that an icemaker and extended warranty are also purchased.
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