Consider the discrete random variable x with probability distribution p(x). Denote the mean and standard deviation of x as μ and ox, respectively. Now define a new discrete random variable y defined as y = μx - 3x. (a) What is the mean of y, y, in terms of u? (b) What is the standard deviation of y, oy, in terms of ox? (c) Now consider a new random variable z = μx ax, what value of a is the mean of z, z, equal to zero? where a is some constant. For

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