Question

If X is a normal random variable that has mean mu = 20 and standard deviation sigma = 2, the standardized value of X = 16 is

Answer 1

Answer:

The standardized value is -2

Step-by-step explanation:

Given

$mu = 20$ -- mean

$\sigma = 2$ --- standard deviation

Required

Determine the standardized value of X = 16

The standardized value (S) is calculated using:

$S = \frac{X - mu}{\sigma}$

This gives:

$S = \frac{16 - 20}{2}$

$S = \frac{- 4}{2}$

$S = -2$

The standardized value is -2