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Math Help - sample distrbutions

  1. #1
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    sample distrbutions

    The assembly line that produces components of a missile system has historically resulted in 2% defective rate. A random sample of 800 components is drawn. What is the probability that the defective rate is greater than 4%?

    can someone help me with this? thank you
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  2. #2
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    Quote Originally Posted by xfyz View Post
    The assembly line that produces components of a missile system has historically resulted in 2% defective rate. A random sample of 800 components is drawn. What is the probability that the defective rate is greater than 4%?

    can someone help me with this? thank you
    The actual number of defectives in the batch has a binomial distribution B(0.02,800), and you are asked for p(n>32) where n is the number of defectives in the batch.

    Now how we proceed depends on what you were doing when this question was set. I guess you are supposed to used the Poisson approximation to the binomial for this.

    RonL
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