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Math Help - normal distribution

  1. #1
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    Post normal distribution

    A batch of 5% tolerance resistors of nominal value 1000 ohms, has a mean

    value of 1000 and a standard deviation of 50. The distribution of

    values is normal and a table of the normal distribution is attached.


    (i)Four resistors are taken at random and added together.


    Calculate the probability that the resistance of the series
    combined is within the range 3950 to 4050.




    Help on this would be very much appreciated.



    Thanks
    Last edited by pip1690; May 13th 2008 at 03:41 PM. Reason: less complicated
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by pip1690 View Post
    A batch of 5% tolerance resistors of nominal value 1000 ohms, has a mean

    value of 1000 and a standard deviation of 50. The distribution of

    values is normal and a table of the normal distribution is attached.


    (i)Four resistors are taken at random and added together.


    Calculate the probability that the resistance of the series

    combined is within the range 3950 to 4050.


    Help on this would be very much appreciated.

    Thanks
    The distribution of the sum of n resistor values has mean n \times \mu and standard deviation \sigma/ \sqrt{n} and has a normal distribution.

    In this case n=4,\ \mu=1000,\ \sigma=50.

    RonL
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