security system 99% reliability rate?

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suppose nine homes are equipped with this system experienced an attempted burglary find the probability that 1) at least one of the alarms is triggered 20 more than 7 of them are triggered

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This entry was posted on Saturday, November 7th, 2009 at 9:25 pm and is filed under security alarm. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

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One Response to “security system 99% reliability rate?”

  1. 1
    eRthGr Says:

    99% reliability rate, so 1% failure rate

    1) P(at least one alarm is triggered) = 1 – P(all nine alarm failed)
    = 1 – 0.01^9 = very close to 1

    2) P( more than 7 are triggered) = P(8 triggered) + P(all triggered)
    = 9C8 * 0.99*8 *0.01 + 9C9 * 0.99^9 = 0.99656427

    November 7th, 2009 at 9:25 pm

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