Question

Let the variance of Y is 4x^2. What is the ​standard deviation of Y?

Select one:
a. none of the above
b. Square root of 4x^2
c. 2
d. 2x^2
e. x


Note: Answer D is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.

Answer 1

The correct answer is option (b): Square root of 4x^2.

The standard deviation of a random variable Y is the square root of its variance. In this case, the variance of Y is given as 4x^2. Taking the square root of 4x^2, we get the standard deviation of Y as 2x.

Therefore, the correct answer is the square root of 4x^2, which is the standard deviation of Y.