SOLUTION: 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 tha
Algebra.Com
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.
---------------
Binomial Problem with n = 8 and p = 0.9
---
Using a TI-84:
P(7<= x <=8) = 1-P(0<= x <=6) = 1-binomcdf(8,0.9,6) = 0.8131
----
Without calculator:
P(7<= x <=8) = 8C7(0.9)^7(0.1)+8C8(0.9)^8 = 0.8131
========================================================
Cheers,
Stan H.
===========
RELATED QUESTIONS
A home security system is designed to be triggered in 96% of attempted burglaries. If 9... (answered by stanbon)
A home security system is designed to be triggered in 96% of attempted burglaries. If 7... (answered by stanbon)
A home security system is designed to be triggered in 97% of attempted burglaries. If 10 (answered by solver91311)
A home security system is designed to be triggered in 95% of attempted burglaries.
If 7... (answered by edjones)
home security system is designed to be triggered in 96% of attempted burglaries. If 10... (answered by stanbon)
A certain type of home security system is triggered in 96% of burglaries. If 6 homes... (answered by stanbon)
A home security system is designed to have a 90% reliability rate. Suppose that nine... (answered by stanbon)
A home security has a reliability rate of 99%. In a sample of nine homes equipped with... (answered by stanbon)
Assume that there are 21 homes in the Quail Creek area and four of them have a security... (answered by Boreal)