For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.09 probability of faillure, Complete parts (a) through (c) below. ..... (a) Would it be unusual to observe one component fail? Two components? be unusual to observe one component fail, since the probability that one component fails, is than 0.05. It be unusual to observe two components fail, since the probability that two components fail, is It than 0.05. (Type integers or decimals. Do not round.) (b) What is the probability that a parallel structure with 2 identical components will succeed? (Round to four decimal places as needed.) (c) How many components would be needed in the structure that the pro the system will succeed is eater than 0.9998? (Type a whole number.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.09 probability of failure, Complete
parts (a) through (c) below.
.....
(a) Would it be unusual to observe one component fail? Two components?
be unusual to observe one component fail, since the probability that one component fails,
is
than 0.05. It
be unusual to observe two components fail, since the probability that two components fail,
than 0.05.
(Type integers or decimals. Do not round.)
(b) What is the probability that a parallel structure with 2 identical components will succeed?
(Round to four decimal places as needed.)
(c) How many components would be needed in the structure so that the probability the system will succe
is greater than 0.9998?
(Type a whole number.)
02
C4
888
Left
Rahi
S
B.
Control
CommaRnd
uondo
uond
Transcribed Image Text:For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.09 probability of failure, Complete parts (a) through (c) below. ..... (a) Would it be unusual to observe one component fail? Two components? be unusual to observe one component fail, since the probability that one component fails, is than 0.05. It be unusual to observe two components fail, since the probability that two components fail, than 0.05. (Type integers or decimals. Do not round.) (b) What is the probability that a parallel structure with 2 identical components will succeed? (Round to four decimal places as needed.) (c) How many components would be needed in the structure so that the probability the system will succe is greater than 0.9998? (Type a whole number.) 02 C4 888 Left Rahi S B. Control CommaRnd uondo uond
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