Assume That X Is a Random Variable in a Probability $\mu _ { \text {new } } = 3 \mu + 5 ; \sigma _ { \text {new } } = 3 \sigma + 5$

Assume that x is a random variable in a probability distribution with mean µ and standard deviation ?. Find expressions for the mean and standard deviation if every value of x is modified by first being multiplied by 3, then increased by 5.

A) $\mu _ { \text {new } } = 3 \mu + 5 ; \sigma _ { \text {new } } = 3 \sigma + 5$
B) $\mu _ { \text {new } } = 3 \mu + 5$ ; $\sigma _ { \text {new } } = 3 \sigma$
C) $\mu _ { \text {new } } = 5 \mu + 3 ; \sigma _ { \text {new } } = 5 \sigma$
D) $\mu _ { \text {new } } = \mu + 5 ; \sigma _ { \text {new } } = 3 \sigma$

Correct Answer:

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