A random variable X is normally distributed with = 60. Convert the value of X to a z-score, if the standard deviation is
as given.
-$$X = 45 ; \sigma = 4$$
A) $- 3.75$
B) $3.75$
C) $- 4$
D) 4

Question

Quizplus · Accepted Answer

The z-score is calculated using the formula $ z = \frac{X - \mu}{\sigma} $. Here, $ X = 45 $, $ \mu = 60 $, and $ \sigma = 4 $. So, $ z = \frac{45 - 60}{4} = -3.75 $.

A Random Variable X Is Normally Distributed with = 60 X=45;σ=4X = 45 ; \sigma = 4X=45;σ=4

A Random Variable X Is Normally Distributed with = 60 $X = 45 ; \sigma = 4$