SOLUTION: A home security system is designed to be triggered in 96% of attempted burglaries. If 7 homes equipped with such a system experience an attempted burglary, find the probability tha

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Question 181002: A home security system is designed to be triggered in 96% of attempted burglaries. If 7 homes equipped with such a system experience an attempted burglary, find the probability that at least 6 alarms are triggered. Round your answer to four decimal places.


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A home security system is designed to be triggered in 96% of attempted burglaries. If 7 homes equipped with such a system experience an attempted burglary, find the probability that at least 6 alarms are triggered. Round your answer to four decimal places.
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It's binomial with n=7, p=0.96 ; 6 <= x <= 7
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P(6 <= x <= 7) = P(x=6) + P(x=7)
= 0.21917 + 0.75145 = 0.9706197...
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Cheers,
Stan H.