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(B | A') = 0.81 P(C | An B') = 0.64 P(C | A'n B') = 0.31 P(B | A) = 0.89 P(A) = 0.70 P(C | An B) = 0.76 P(C | A'n B) = 0.69 (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. C, 0.24 B', 0.11 A, 0.70 C, 0.36 A' C, 0.31 B. B', 0.19 (b) Compute P(A n Bn C). (Round your answer to four decimal places.) (c) Compute P(B n C). (Round your answer to four decimal places.)

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...
icon
Related questions
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) = 0.70
P(B | A) = 0.89
P(B | A') = 0.81
P(C | An B) = 0.76
P(C | A n B') = 0.64
P(C | A'n B) = 0.69
P(C | A'n B') = 0.31
(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.
C', 0.24
B', 0.11
A, 0.70
C', 0.36
À'
C', 0.31
B', 0.19
(b) Compute P(A n B n C). (Round your answer to four decimal places.)
(c) Compute P(B n C). (Round your answer to four decimal places.)
(d) Compute P(C). (Round your answer to four decimal places.)
(e) Compute P(A | B n C), the probability of a U.S. purchase given that an icemaker and extended warranty are also purchased. (Round your answer to four decimal places.)
Transcribed Image Text: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) = 0.70 P(B | A) = 0.89 P(B | A') = 0.81 P(C | An B) = 0.76 P(C | A n B') = 0.64 P(C | A'n B) = 0.69 P(C | A'n B') = 0.31 (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. C', 0.24 B', 0.11 A, 0.70 C', 0.36 À' C', 0.31 B', 0.19 (b) Compute P(A n B n C). (Round your answer to four decimal places.) (c) Compute P(B n C). (Round your answer to four decimal places.) (d) Compute P(C). (Round your answer to four decimal places.) (e) Compute P(A | B n C), the probability of a U.S. purchase given that an icemaker and extended warranty are also purchased. (Round your answer to four decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON