A maintenance firm has gathered the following information regarding the failure mechanism for air conditioning systems. Gas Leaks Yes Evidence of Yes 64 electrical failure No 28 No 11 19 If this is a representative sample of AC failure, find the following probabilities. (a) That there was a gas leak, given that there was evidence of electrical failure. (b) That there was evidence of electrical failure, given that there was a gas leak. (c) Let E be the event that there is a gas leak and let F be the event that there is evidence of electrical failure. Find P(E|F).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Problem #2: A maintenance firm has gathered the following information regarding the failure mechanism for air conditioning
systems.
Problem #2(a):
Problem #2(b):
Problem #2(c):
Evidence of
Yes
electrical failure No
Just Save
If this is a representative sample of AC failure, find the following probabilities.
(a) That there was a gas leak, given that there was evidence of electrical failure.
(b) That there was evidence of electrical failure, given that there was a gas leak.
(c) Let E be the event that there is a gas leak and let F be the event that there is evidence of electrical failure. Find
P(EF).
2(a)
2(b)
2(c)
Gas Leaks
Yes
64
28
Problem #2 Attempt #1 Attempt #2
Your Answer:
FERR
Your Mark: 2(a) 0/1X
2(b) 0/1X
2(c) 0/1X
Submit Problem #2 for Grading
2(a)
2(b)
2(c)
No
11
19
PAPERS
Enter your answer symbolically,
as in these examples
2(a) 0/1X
2(b) 0/1X
2(c) 0/1X
Enter your answer symbolically,
as in these examples
Enter your answer symbolically,
as in these examples
Attempt #3
2(a)
2(b)
2(c)
2(a)
2(b)
2(c)
Attempt #4
2(a)
2(b)
2(c)
2(a)
2(b)
2(c)
Attempt #5
2(a)
2(b)
2(c)
2(a)
2(b)
2(c)
Transcribed Image Text:Problem #2: A maintenance firm has gathered the following information regarding the failure mechanism for air conditioning systems. Problem #2(a): Problem #2(b): Problem #2(c): Evidence of Yes electrical failure No Just Save If this is a representative sample of AC failure, find the following probabilities. (a) That there was a gas leak, given that there was evidence of electrical failure. (b) That there was evidence of electrical failure, given that there was a gas leak. (c) Let E be the event that there is a gas leak and let F be the event that there is evidence of electrical failure. Find P(EF). 2(a) 2(b) 2(c) Gas Leaks Yes 64 28 Problem #2 Attempt #1 Attempt #2 Your Answer: FERR Your Mark: 2(a) 0/1X 2(b) 0/1X 2(c) 0/1X Submit Problem #2 for Grading 2(a) 2(b) 2(c) No 11 19 PAPERS Enter your answer symbolically, as in these examples 2(a) 0/1X 2(b) 0/1X 2(c) 0/1X Enter your answer symbolically, as in these examples Enter your answer symbolically, as in these examples Attempt #3 2(a) 2(b) 2(c) 2(a) 2(b) 2(c) Attempt #4 2(a) 2(b) 2(c) 2(a) 2(b) 2(c) Attempt #5 2(a) 2(b) 2(c) 2(a) 2(b) 2(c)
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