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Math Help - Probabiity two components are unacceptable

  1. #1
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    Probabiity two components are unacceptable

    The probability that a chip is manufactured to an acceptable standard is 0.73. A sample of 4 chips is picked at random from a large batch.

    I have calculated that all are acceptable 0.73^4 and none are 0.27^4. How can I calculate more than two are?

    I tried 0.73^2 but then that + 0.27^2 does not make 1. What to do?

    Thanks.
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  2. #2
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    Re: Probabiity two components are unacceptable

    Quote Originally Posted by mark090480 View Post
    The probability that a chip is manufactured to an acceptable standard is 0.73. A sample of 4 chips is picked at random from a large batch.
    I have calculated that all are acceptable 0.73^4 and none are 0.27^4. How can I calculate more than two are?
    \sum\limits_{k = 3}^4 {\binom{4}{k}{{(.73)}^k}{{(.27)}^{4 - k}}}
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  3. #3
    MHF Contributor

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    Re: Probabiity two components are unacceptable

    In other words, 4(.73)^3(.27)+ (.73)^4!
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