Mathematics
How to solve this problem

Question Description

The probability that there will be a power failure during a snowstorm is .35. The probability that the generator will stop working during a snowstorm is .05. Find the probability that during a snowstorm the company will have at least one power source. Of course, the two power sources function independently.

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Final Answer

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atleast one power sorce:

the company should have either the two sorces or the generator or main power

the company cannot use both, hence it 

using each power source is 50/50, with probability of 0.5 and 0.5

using generator=0.5*0.95=0.475

main power=0.5*0.65=0.325

=0.475(0.325)

=0.1544


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University of Maryland

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