Problem#4: A maintenance firm has gathered the following information regarding the failure mechanisms for air conditioning systems: evidence of gas leaks yes no evidence of yes 55 17 electrical failure no 32 or electrical If this is a representative sample AC The units without evidence of gas leaks failure showed other types of failure. failure, the probability (a) is evidence calculate that failure involves a gas leak, (b) that there of electrical failure given that there was a gas leak and (c) that there is evidence of a gas leak given that there is evidence of electrical failure.
Problem#4: A maintenance firm has gathered the following information regarding the failure mechanisms for air conditioning systems: evidence of gas leaks yes no evidence of yes 55 17 electrical failure no 32 or electrical If this is a representative sample AC The units without evidence of gas leaks failure showed other types of failure. failure, the probability (a) is evidence calculate that failure involves a gas leak, (b) that there of electrical failure given that there was a gas leak and (c) that there is evidence of a gas leak given that there is evidence of electrical failure.
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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Transcribed Image Text:Problem#4: A maintenance firm has gathered the following information
regarding the failure mechanisms for air conditioning systems:
evidence of gas leaks
yes
no
evidence of
yes
55
17
electrical failure
no
32
3
The units without evidence of
gas
leaks
electrical failure
or
showed other types of failure. If this is a representative sample AC
failure,
the probability (a)
there is evidence of electrical failure given that
calculate
that failure involves
a
gas
leak,
(b)
that
there was
a
gas
leak and
(c)
that
there is evidence of
leak
a
gas
given that there is evidence of electrical failure.
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