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Consider the discrete random variable x with the probability distribution p(x). Denote the mean and standard deviation of x as µx and δx, respectfully. Now define a discrete random variable y defined as y=µx-3x.
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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