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Question No. 31 what is the standard deviation of random variable x if E ​

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Answer:

where the sum is taken over all values of x for which pX(x)>0. So the variance of X is the weighted AVERAGE of the squared deviations from the MEAN μ, where the weights are given by the probability FUNCTION pX(x) of X. The standard deviation of X is defined to be the square root of the variance of X



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