The random variable X has mean 12 and standard deviation 3. The random variable W is defined as W = 7+2X. What are the mean and

Question

3 years ago

13

The random variable X has mean 12 and standard deviation 3. The random variable W is defined as W = 7+2X. What are the mean and

standard deviation of W?
A. The mean is 24, and the standard deviation is 6.
B. The mean is 24, and the standard deviation is 13.
C. The mean is 31, and the standard deviation is 3.
D. The mean is 31, and the standard deviation is 6.
E. The mean is 31, and the standard deviation is 13.

Mathematics

1 answer:

coldgirl [10] · Answer 1 · 2022-08-18T17:27:13+03:00

coldgirl [10]3 years ago

7 0

Answer:

Mean=X=12

SD=3

W=7+2X

Mean(W)=7+2Mean(X)

Mean(W)=7+2(12)

=7+24=31

SD(W)=2SD(X)

SD(W)=2(3)=6

Ans: D