Consider the discrete random variable x with the probability distribution p(x). Denote the mean and standard deviation of xas x and x, respectfully.
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Question

a) What is the mean of y, µy?

b)What is the standard deviation of y, δy?

c)Now consider a new random

variable z=µx- ax, where a is some constant. For what value of a is the mean of z, µz, equal to zero?

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