SOLUTION: A home security system is designed to be triggered in 95% of attempted burglaries. If 7 homes equipped with such a system experience an attempted burglary, find the probability th

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Question 434609: A home security system is designed to be triggered in 95% of attempted burglaries.
If 7 homes equipped with such a system experience an attempted burglary, find the probability that fewer than 5 alarms are triggered. Round your answer to four decimal places.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
p=.95, q=.05
p^7+7p^6q+21p^5q^2
=.9962 Probability that 5, 6 or 7 alarms are triggered.
1-.9962 = .0038 the probability that fewer than 5 alarms are triggered.
.
Ed