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Math Help - Challenging--- Central Limit Theorem

  1. #1
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    Unhappy Challenging--- Central Limit Theorem

    According to a CNN report, 7% of the population do not have traditional phones and instead they rely on only cell phones. In a random sample of 750 telephone users, what is the probability that more than 8% are "cell phone only?"
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  2. #2
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    Quote Originally Posted by GoDuke View Post
    According to a CNN report, 7% of the population do not have traditional phones and instead they rely on only cell phones. In a random sample of 750 telephone users, what is the probability that more than 8% are "cell phone only?"
    Let X be the random variable number of cell phone only users.
    X ~ Binomial(n = 750, p = 0.07)
    Pr(X > 60) = .......

    Nowadays technology spits the answer out: 0.1581, correct to four decimal places.

    The normal approximation to the binomial distribution could once upon a time be used. You should try using it. Compare to the answer above. How different is it?
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