Suppose you have a distribution x with mean 29 and

Question

Suppose you have a distribution, X, with mean = 29 and standard deviation = 6. Define a new random variable Y = 4X - 5. Find the mean and standard deviation of Y.

a) E[Y] = 111; σ_Y= 19

b) E[Y] = 116; σ_Y= 96

c) E[Y] = 111; σ_Y= 96

d) E[Y] = 116; σ_Y= 19

e) E[Y] = 111; σ_Y= 24

f) None of the above