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Consider three observations a, b and c s...

Consider three observations a, b and c such that b=a+c. If the standard deviation of a+2, b+2, c+2 is d, then which of the following is true ?

A

`b ^(2) = 3 (a ^(2) + c ^(2)) + 9d ^(2)`

B

`b ^(2) = (a ^(2) + c ^(2)) -9d ^(2)`

C

`b ^(2) = (a ^(2) + c ^(2) + d ^(2))`

D

`b ^(2) =a ^(2) + c ^(2) +3d ^(2)`

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