If X is a variate taking values x1,x2,…,xn.Y is another variate taking values y1,y2,…,yn such that yi=2xi+3 and σY=8, then the variance of variable Z taking values 32xi;i=1, 2,…,n, is

# If $X$ is a variate taking values ${x}_{1},{x}_{2},\dots ,{x}_{n}$.Y is another variate taking values ${y}_{1},{y}_{2},\dots ,{y}_{n}$ such that ${y}_{i}=2{x}_{i}+3$ and ${\sigma }_{Y}=8$, then the variance of variable Z taking values , is

1. A

24

2. B

36

3. C

6

4. D

18

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### Solution:

We have,

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