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