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  1. #1
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    Question rolling a die ...

    greets
    Last edited by shirel; August 28th 2007 at 01:05 AM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by shirel View Post
    Exercise:

    A die is rolled 600 times. how many times does face 5 show up?
    Specify a reasonable range. Discuss why you prefer that one over other possible estimates.
    how certain is your estimate? For which range would you be absolutely certain?

    how would you answer?
    thanks for showing me your ideas, thoughts, explanations, calculations..

    greets
    See the answer to your other question about the distribution of the number
    of times a 5 will come up.

    Now 600 times is a large number of rolls so we may as well use the normal
    approximation to the binaomial distribution, in this case it will have mean:

    m=Np = 600 \times (1/6) = 100

    and standard deviation:

     <br />
\sqrt{Np(1-p)} = \sqrt{600(1/6)(5/6)} \approx 9.13<br />

    So you would expect the number of 5's to be 100 \pm k \times 9.13, where
    the value of k is chossen by you depending on what confidence you want
    that the actual number lies in the interval, often a value of k=1.96 is used.

    RonL
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