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Math Help - Statistics and probability

  1. #1
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    Statistics and probability

    Attention Please!!!! i want to get the honour of your help.
    Suppose an item is manufacture by three machines X, Y and Z. All the three machines have equal capacity and are operated at the same rate. It is known that the percentages of defective items produced by X, Y and Z are 1, 7, and 12 percent respectively. All the items produced by X, Y and Z are put into one bin. From this bin, one item is drawn at random and is found to be defective. What is probability that this item was produced on Y?

    i will be very thankful to you ....if anyone can help me.
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  2. #2
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    Quote Originally Posted by MS BATOOL View Post
    Attention Please!!!! i want to get the honour of your help.
    Suppose an item is manufacture by three machines X, Y and Z. All the three machines have equal capacity and are operated at the same rate. It is known that the percentages of defective items produced by X, Y and Z are 1, 7, and 12 percent respectively. All the items produced by X, Y and Z are put into one bin. From this bin, one item is drawn at random and is found to be defective. What is probability that this item was produced on Y?

    i will be very thankful to you ....if anyone can help me.
    You need to use Bayes' theorem:

    A - sampled item produced by Y
    B - sampled item defective

    Then you are asked for:

    p(A|B)=\frac{p(B|A)p(A)}{p(B)}

    The data you need to compute this are:

    p(B|A)=0.07
    p(A)=1/3
    p(B)=(1/3)\times 0.01 + (1/3)\times 0.07 + (1/3) \times 0.12

    ZB
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  3. #3
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    Thanks

    Hi....i want to thank for this most useful and fast reply....once again thanks with regards.
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