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Math Help - question need help

  1. #1
    evilhost
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    question need help

    I have a prob question that i need help with, thanks a lot
    "suppose people attending a party pour drinks from a bottle containing 63 ounces of vodka. suppose also that the expected size of each drink is 2oz, the standard deviation of each drink is 1/2 oz, all drinks are poured independly. whats the probability that the bottle will not be empty after 36 drinks have been poured?? "


    thanks for the help
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by evilhost View Post
    I have a prob question that i need help with, thanks a lot
    "suppose people attending a party pour drinks from a bottle containing 63 ounces of vodka. suppose also that the expected size of each drink is 2oz, the standard deviation of each drink is 1/2 oz, all drinks are poured independly. whats the probability that the bottle will not be empty after 36 drinks have been poured?? "


    thanks for the help
    36 drinks total 72 oz with a standard deviation of (1/2)*sqrt(36)=3 oz

    The total is normally distributed with mean 72 and sd 3 oz, so the
    z-score corresponding to an empty bottle is:

    z=(72-63)/3=3

    So the probability that the bottle is not empty is:

    p(not empty)=1 - P(3)

    where P is the cumulative standard normal distribution.

    RonL
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