?

AP® Statistics

Free Version

Upgrade subject to access all content

Difficult

Linear Transformation: Mean and Variance

APSTAT-0$GB@Y

Suppose $X$ is a random variable where the mean is $14.2$ and the standard deviation is $3.2$.
Let $y=5.1x + 8$.

What is the mean and variance of y?

A

Mean: $80.42$
Variance: $274.34$

B

Mean: $80.42$
Variance: $266.34$

C

Mean: $80.42$
Variance: $16.32$

D

Mean: $72.42$
Variance: $274.34$

E

Mean: $72.42$
Variance: $266.34$