Question

S.D(X) = 6 and S.D(Y) = 8. If X and Yare independent random variables, then S.D(X-Y) is:

Answer 1

Answer:

S.D(X - Y) = 14

Step-by-step explanation:

Given that S.D(X) = 6 and S.D(Y) = 8

We know that

If X and Y are independent random variables then,

S.D(X - Y) = S.D(X) + S. D(Y)

Put S.D(X) = 6 and S.D(Y) = 8

The we get

S.D(X - Y) = 6 + 8

S. D(X - Y) = 14

Therefore S. D(X - Y) = 14