Dice throw, avg.,standard deviation

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Pushoam
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Homework Statement


Printed problem 3.1: A throw of a regular die yields the numbers 1, 2, ..., 6, each with probability 1/6. Find the mean, variance, and standard deviation of the numbers obtained.


Homework Equations

The Attempt at a Solution


Let's denote the result of the throw by the variable x.
## <x> = Σ_i P_i x_i , i = 1,2,3,...,6.
\\= \frac{1+2+3+4+5+6}{6}
\\<x^2> = \frac{1^2+2^2+3^2+4^2+5^2+6^2}{6}
\\σ_x = \sqrt{<x^2> - <x>^2} ##
Is this correct?
 
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