rigerator 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 CE that the customer purchased an extended warranty. Relevant probabilities are below. P(A) = 0.73 P(B | A) = 0.86 P(C | An B) = 0.84 P(C | A'n B) = 0.67 P(B | A) = 0.81 P(C | An B)= 0.63 P(C | A'n B) = 0.34 (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. 0 A, 0.73 27 A' R ✔ 86 B', 0.14 .81 84 B, 0.19 C, 0.16 ✓ WebAssign Plot 7 e 63 O C, 0.33 0 .67 ✓ (b) Compute P(An 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 | 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.)
rigerator 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 CE that the customer purchased an extended warranty. Relevant probabilities are below. P(A) = 0.73 P(B | A) = 0.86 P(C | An B) = 0.84 P(C | A'n B) = 0.67 P(B | A) = 0.81 P(C | An B)= 0.63 P(C | A'n B) = 0.34 (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. 0 A, 0.73 27 A' R ✔ 86 B', 0.14 .81 84 B, 0.19 C, 0.16 ✓ WebAssign Plot 7 e 63 O C, 0.33 0 .67 ✓ (b) Compute P(An 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 | 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.)
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...
Related questions
Question
Please help me solve the rest.
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) = 0.73 P(B | A) = 0.86
P(BA) 0.81
P(C | An B) = 0.84
P(C | An B) = 0.63
P(C | A'n B') = 0.34
P(C | A'n B) = 0.67
(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, 0.73
27
A'
R
✓
.86
B', 0.14
R
.81
e
B', 0.19
.84
WebAssign Plot 7
C', 0.16
✓
e .63
O
C', 0.33
✓
PO
.67
0
O
-0
✓
✓
(b) Compute P(An 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 | 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.)
Expert Solution
Step 1
Given Information:
Step by step
Solved in 2 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON