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

The standardized value is -2

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 = (X - mu)/(\sigma)`

This gives:

`S = (16 - 20)/(2)`

`S = (- 4)/(2)`

`S = -2`

The standardized value is -2