For a paralel 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 0.22 protțability of failure (a) Would it be unusual to observe one component fail? Two components? would not be unusual to observe one component fail, since the probablity that one component fails, 5 is less than 0.05. It would not be unusual to observe two components fail, since the probability that two components fa (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 succeed is greater than 09999? (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 0.22 protability of failure. Complete parts (a) through (c) below.
(a) Would it be unusual to observe one component fail? Two components?
It would not be unusual to observe one component fail, since the probability that one component fails, 5 is
less
than 0.05. It would not be unusual to observe two components fail, since the probability that two components fail, 5, is greater 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?
5
(Round to four decimal places as needed.)
(c) How many components would be needed in the structure so that the probability the system will succeed is greater than 0.9999?
5
(Type a whole number.)
O Time Remaining: 01:47:3
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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 0.22 protability of failure. Complete parts (a) through (c) below. (a) Would it be unusual to observe one component fail? Two components? It would not be unusual to observe one component fail, since the probability that one component fails, 5 is less than 0.05. It would not be unusual to observe two components fail, since the probability that two components fail, 5, is greater 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? 5 (Round to four decimal places as needed.) (c) How many components would be needed in the structure so that the probability the system will succeed is greater than 0.9999? 5 (Type a whole number.) O Time Remaining: 01:47:3 e DELL TD0A2331422 Morobore D imprivata 自
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 0.22 projability of failure. Complete parts (a) through (c) below.
Would it be unusual to observe one component fail? Two components?
than 0.05. It would not be unusual to observe two components fail, since the probability that two components fail, 5, is greater than 0.05.
less
would not be unusual to observe one component fail, since the probability that one component fails, 5, is
Type integers or decimals. Do not round.)
b) What is the probability that a parallel structure with 2 identical components will succeed?
5
(Round to four decimal places as needed.)
(c) How many components would be needed in the structure so that the probability the system will succeed is greater than 0.9999?
5
(Type a whole number.)
Time Remaining: 01:47:39
e
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TD0A2331422
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O imprivata
近
Transcribed Image Text: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 0.22 projability of failure. Complete parts (a) through (c) below. Would it be unusual to observe one component fail? Two components? than 0.05. It would not be unusual to observe two components fail, since the probability that two components fail, 5, is greater than 0.05. less would not be unusual to observe one component fail, since the probability that one component fails, 5, is Type integers or decimals. Do not round.) b) What is the probability that a parallel structure with 2 identical components will succeed? 5 (Round to four decimal places as needed.) (c) How many components would be needed in the structure so that the probability the system will succeed is greater than 0.9999? 5 (Type a whole number.) Time Remaining: 01:47:39 e DELL TD0A2331422 Moropere O imprivata 近
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