Question 449305: A home security system is designed to be triggered in 90% of attempted burglaries. If 8 homes equipped with such a system experience an attempted burglary, find the probability that more than 6 alarms are triggered. Round your answer to four decimal places.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A home security system is designed to be triggered in 90% of attempted burglaries. If 8 homes equipped with such a system experience an attempted burglary, find the probability that more than 6 alarms are triggered. Round your answer to four decimal places.
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Binomial Problem with n = 8 and p = 0.9
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Using a TI-84:
P(7<= x <=8) = 1-P(0<= x <=6) = 1-binomcdf(8,0.9,6) = 0.8131
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Without calculator:
P(7<= x <=8) = 8C7(0.9)^7(0.1)+8C8(0.9)^8 = 0.8131
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Cheers,
Stan H.
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