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Suppose you have a distribution, X, with mean = 22 and standard deviation = 5. Define a new random variable Y = 8X - 3. Find the mean and standard deviation of Y.

a) E[Y] = 173; σY= 320

b) E[Y] = 176; σY= 37

c) E[Y] = 176; σY= 320

d) E[Y] = 173; σY= 40

e) E[Y] = 173; σY= 37

f) None of the above

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