SIZC the all, and The old 52. A system consists of two identical pumps, #1 and #2. one pump fails, the system will still operate. However, because of the added strain, the remaining pump is now more likely to fail than was originally the case. That is, r = P(#2 fails #1 fails) > P(# 2 fails) = q. If at least one pump fails by the end of the pump design life in 7% of all systems and both pumps fail during that period in only 1%, what is the probability that pump #1 will fail during the pump design life? 53. A certain shop repairs both audio and video compo- nents. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = .6 and P(B) = .05. What is P(B|A)? 54. In Exercise 13, A, = {awarded project i}, for i = 1, 2, 3. Use the probabilities given there to compute the Lased to aby monotti s

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 13E
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53. A certain shop repairs both audio and video compo- nents. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = .6 and P(B) = .05. What is P(BA)?

SIZC
the
all,
and
The
old
52. A system consists of two identical pumps, #1 and #2.
one pump fails, the system will still operate. However,
because of the added strain, the remaining pump is now
more likely to fail than was originally the case. That
is, r = P(#2 fails #1 fails) > P(# 2 fails) = q. If at least
one pump fails by the end of the pump design life in 7% of
all systems and both pumps fail during that period in only
1%, what is the probability that pump #1 will fail during
the pump design life?
53. A certain shop repairs both audio and video compo-
nents. Let A denote the event that the next component
brought in for repair is an audio component, and let B be
the event that the next component is a compact disc
player (so the event B is contained in A). Suppose that
P(A) = .6 and P(B) = .05. What is P(B|A)?
54. In Exercise 13, A, = {awarded project i}, for i = 1, 2, 3.
Use the probabilities given there to compute the
Lased to aby monotti s
Transcribed Image Text:SIZC the all, and The old 52. A system consists of two identical pumps, #1 and #2. one pump fails, the system will still operate. However, because of the added strain, the remaining pump is now more likely to fail than was originally the case. That is, r = P(#2 fails #1 fails) > P(# 2 fails) = q. If at least one pump fails by the end of the pump design life in 7% of all systems and both pumps fail during that period in only 1%, what is the probability that pump #1 will fail during the pump design life? 53. A certain shop repairs both audio and video compo- nents. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = .6 and P(B) = .05. What is P(B|A)? 54. In Exercise 13, A, = {awarded project i}, for i = 1, 2, 3. Use the probabilities given there to compute the Lased to aby monotti s
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