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Calculate The Mean And Standard Deviation Of The Probability

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Calculate the mean and standard deviation of the probability distribution created by rolling a die.

Either show work or explain how your answer was calculated.

Thank you for your question.

Each number from 1 through 6 has a probability of 1/6 of appearing.

Mean = (1/6)(1+2+3+4+5+6) = 21/6 = 3.5

Standard deviation = sqrt[(1/6)(1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2) - 3.5^2] = sqrt(35/12) = 1.7078

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