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Math Help - Proportions

  1. #1
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    Probabilities

    Any help will do. Just cant seem to make any sense of this question.
    A jam manufacturer produces a pack consisting of 8 assorted pots of different flavours, each normally weighing 50g. In practice the actual weight of each pot is independently normally distributed with mean 52g and standard deviation 1.10g. What is the probability of one or more pots in the pack weighing less than 50g?
    Last edited by Pink Lady; September 29th 2009 at 07:39 AM.
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  2. #2
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    Quote Originally Posted by Pink Lady View Post
    Any help will do. Just cant seem to make any sense of this question.
    A jam manufacturer produces a pack consisting of 8 assorted pots of different flavours, each normally weighing 50g. In practice the actual weight of each pot is independently normally distributed with mean 52g and standard deviation 1.10g. What is the probability of one or more pots in the pack weighing less than 50g?
    Let X be the random variable weight of pot (in grams).

    X ~ Normal (\mu = 52, \sigma = 1.10).

    Calculate p = Pr(X < 50) in the usual way.

    Let Y be the random variable number of pots weighing less than 50 g.

    Y ~ Binomial(n = 8, p = value found above)

    Calculate \Pr(Y \geq 1) = 1 - \Pr(Y = 0).
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