Question

Suppose X ~ N(12, 6). What is the z-score of x = 2?

Short answer

The value of the $z$score is $-1.67$

Step-by-step solution

Given Information 

Given in the question that, $X^{~}\mathrm{N}(12,6)$

$x=2$

We have to find the$z$score

Explanation 

Let's consider the expression $X^{~}\mathrm{N}(12,6)$

Where,

$\mu =12$

$\sigma =6$

$x=2$

We can compute the $z$score as follow:

$z=\frac{x-\mu }{\sigma }$

Place the given values in the above equation

Then,

$z=\frac{2-12}{6}$

$=\frac{-10}{6}$

$=-1.67$