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.)

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...

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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.)

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