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Probability and Statistics

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Find the probability distribution of the value x. mean , variance and standard derivation.
Two dice rolled . x is the sum of numbers on the top faces.

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Solution Summary

The expert finds the probability distribution for variance and standard derivation.

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(1) The probability distribution is:

x = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

with the corresponding probabilities being

P(x) = 1/36, 1/18, 1/12, 1/9, 5/36, 1/6, 5/36, 1/9, 1/12, 1/18, 1/36

(a) Mean = sum of x * P(x)

= 2(1/36) + 3(1/18) + 4(1/12) + 5(1/9) + 6(5/36) + 7(1/6) + 8(5/36) + 9(1/9) + 10(1/12) + 11(1/18) + 12(1/36) = ...

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