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If sigma^2 is the variance of n observat...

If `sigma^2` is the variance of n observations `x_1,x_2`,….,`x_n`,prove that the variance of n observations `ax_1,ax_2`,…,`ax_n` is `a^2sigma^2` , where `a ne 0`

A

`sigma ^(2)`

B

`alpha sigma^(2)`

C

`alpha ^(2) sigma ^(2)`

D

`(sigma ^(2))/( alpha ^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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