Question

if X~N (50,25) then standard deviation is​

Answer 1

Answer:

here is a property of variance under linear transformation that makes this question very simple.

Var(aX+b)= a^2Var(X)

Variance is not a linear operator so adding or subtracting a scalar doesn't change variance.

Now applying this to your question we first find Var(X)

Sd((X) =10

Var(X)=sd(X)^2=100

Var(50+5x)=25var(X)=25*100=2500

No take the square root of 2500 to get back to the standard deviation and you have now learned variance under linear transformation.

Step-by-step explanation: