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) = 0.74 P(B | A) = 0.85 P(B | A') = 0.82P(C | A ∩ B) = 0.76P(C | A ∩ B') = 0.55P(C | A' ∩ B) = 0.75P(C | A' ∩ B') = 0.25(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(A ∩ B ∩ C). (Round your answer to four decimal places.)(c) Compute P(B ∩ C). (Round your answer to four decimal places.)(d) Compute P(C). (Round your answer to four decimal places.)(e) Compute P(A | B ∩ 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.) 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 extendedwarranty. Relevant probabilities are below.P(A) = 0.74 P(BIA) = 0.85P(B | A') = 0.82P(CAN B) = 0.76P(CAN B') = 0.55P(C | A'n B) = 0.75P(C | A' B') = 0.25(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.A, 0.74BB', 0.15BB', 0.18C', 0.24C', 0.45C', 0.25(b) Compute P(AN BNC). (Round your answer to four decimal places.)(c) Compute P(BNC). (Round your answer to four decimal places.)(d) Compute P(C). (Round your answer to four decimal places.)(e) Compute P(A | Bn 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.)

Given, P(A) = 0.74 P(B | A) = 0.85 P(B|A') = 0.82 P(C | A ∩ B) = 0.76 P(C | A ∩ B') = 0.55 P(C | A'…

Answered: For customers purchasing a refrigerator…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

See similar textbooks

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) = 0.74	P(B \| A) = 0.85	P(B \| A') = 0.82
P(C \| A ∩ B) = 0.76	P(C \| A ∩ B') = 0.55
P(C \| A' ∩ B) = 0.75	P(C \| A' ∩ B') = 0.25

(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(A ∩ B ∩ C). (Round your answer to four decimal places.)

(c) Compute P(B ∩ C). (Round your answer to four decimal places.)

(d) Compute P(C). (Round your answer to four decimal places.)

(e) Compute P(A | B ∩ 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.)