Question

Suppose X ~ N(9, 3). What is the z-score of x = 9?

Short answer

The value of the$z$score is$0$.

Step-by-step solution

Given information 

Given in the question that, $X^{~}N(9,3)$

$x=9$

We have to find the$z$score.

Explanation 

Let's consider the expression $X^{~}N(9,3)$

where,

$x=9$

$\mu =9$

$\sigma =3$

We can compute the $z$score value as follow:

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

Place the given values in the above equation:

$z=\frac{9-9}{3}$

$=\frac{0}{3}$

$=0$