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allsm [11]
3 years ago
14

If you answered 65 questions correct on a 75 question test, what is your score?

Mathematics
1 answer:
netineya [11]3 years ago
6 0

Just do 65/75=.86

So, 86%

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A parallel system functions whenever at least one of its components works. Consider a parallel system of 5 components, and suppo
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Probability that component 4 works given that the system is functioning = 0.434 .

Step-by-step explanation:

We are given that a parallel system functions whenever at least one of its components works.

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<em>Also let S = Probability that system is functioning for whole 5 components, P(S)</em>

Now, the conditional probability that component 4 works given that the system is functioning is given by P(A/S) ;

P(A/S) =  {Means P(component 4 working and system also working)

divided by P(system is functioning)}

  P(A/S) =  {In numerator it is P(component 4 working) and in

                denominator it is P(system working) = 1 - P(system is not working)}

Since we know that P(system not working) means that none of the components is working in system and it is given with the probability of 0.6 and since there are total of 5 components so P(system working) = 1 - 0.6^{5} .

 Hence, P(A/S) = \frac{0.4}{1 - 0.6^{5} } = 0.434.    

7 0
3 years ago
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