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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.

Jun 3rd, 2015

Please let me know if you need any clarification. I'm always happy to answer your questions.

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


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 3rd, 2015

=0.1544 or (0.05)(0.95) or (0.35)(0.65)

=0.1544+0.0475+0.2275

=0.4294 is the probability

Jun 3rd, 2015

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Jun 3rd, 2015
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