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.
-$$X = 72 ; \sigma = 3$$
A) 4
B) 12
C) 5
D) 3

Question

Quizplus · Accepted Answer

The z-score is calculated using the formula $$z = \frac{X - \mu}{\sigma}$$, where $X$ is the value from the dataset, $\mu$ is the mean, and $\sigma$ is the standard deviation. Plugging in the given values, we get $$z = \frac{72 - 60}{3} = \frac{12}{3} = 4$$.

A Random Variable X Is Normally Distributed with = 60 X=72;σ=3X = 72 ; \sigma = 3X=72;σ=3

A Random Variable X Is Normally Distributed with = 60 $X = 72 ; \sigma = 3$