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 ?

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