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Math Help - candy, weights, distributions, yum

  1. #1
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    candy, weights, distributions, yum

    so I have a stats problem that I can't figure out.

    Assume that the distribution of mints produced with a label weight of 20.4 is N(21.34, .16)

    15 mints are selected independently. let Y be the number of those that weight less than 20.857 g. determine P[Y≤2].

    The chapter for this is only about three paragraphs long and doesn't touch on this type of problem...any help?
    thanks in advance!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by harbong View Post
    so I have a stats problem that I can't figure out.

    Assume that the distribution of mints produced with a label weight of 20.4 is N(21.34, .16)

    15 mints are selected independently. let Y be the number of those that weight less than 20.857 g. determine P[Y≤2].

    The chapter for this is only about three paragraphs long and doesn't touch on this type of problem...any help?
    thanks in advance!
    Using the information that the weight of a mint is \sim N(21.34, 0.16) calculate the probability p that a single mints weight is less than 20.857.

    In a batch of 15 mints the number y with weight less than 20.857 has a binomial distribution B(15, p). This will allow you to calculate:

    P(Y \le 2)=b(0;15,p)+b(1;15,p)+b(2;15,p)

    RonL
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