SOLUTION: A home security system is designed to be triggered in 97% of attempted burglaries. If 10 homes equipped with such a system experience an attempted burglary, find the probability t
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Question 324753: A home security system is designed to be triggered in 97% of attempted burglaries. If 10 homes equipped with such a system experience an attempted burglary, find the probability that at least 9 alarms are triggered. Round your answer to four decimal places
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The probability of 
successes in 
trials where 
is the probability of success on any given trial is given by:
\ =\ \left(n\cr k\right\)p^k\left(1\,-\,p\right)^{n\,-\,k})
Where )
is the number of combinations of things taken at a time and is calculated by !})
You want:
\ =\ \left(10\cr\ 9\right\)\left(0.97\right)^9\left(0.03\right)^{1})
Hint: \ =\ \left(n\cr 1\right\)\ =\ n)
The rest of the arithmetic is yours to do.
John
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