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Math Help - If the die is assumed to be fair, what is the most likely number of sides it has.

  1. #1
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    Smile If the die is assumed to be fair, what is the most likely number of sides it has.

    Suppose the following experiment is conducted : A die with s sides marked 1 through s is tossed n times and the number of times a 1 is tossed is recorded. After many repetitions of the experiment, it is found that the number of 1's tossed has a mean of 33 and a standard deviation of 5.5.

    a). If the die is assumed to be fair, what is the most likely number of sides it has ?

    Thank you.
    Last edited by mr fantastic; May 9th 2010 at 04:16 AM. Reason: Re-titled.
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    Quote Originally Posted by sahip View Post
    Suppose the following experiment is conducted : A die with s sides marked 1 through s is tossed n times and the number of times a 1 is tossed is recorded. After many repetitions of the experiment, it is found that the number of 1's tossed has a mean of 33 and a standard deviation of 5.5.

    a). If the die is assumed to be fair, what is the most likely number of sides it has ?

    Thank you.
    Perhaps I'm missing some complexity here, but for a 6-sided die, you'd expect each face value to appear close to one sixth of the time, so I would think that you could simply write

    \frac{n}{s} \approx 33

    and use the nearest integer function when solving, without needing to think about standard deviation.
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