Question

Suppose X ~ N(–1, 2). What is the z-score of x = 2.

Short answer

The value of$z$score is$1.5$

Step-by-step solution

Given Information 

Given in the question that $X^{~}N(-1,2)$

$x=2$

We have to find the $z$score.

Explanation 

Let's consider the expression $X^{~}N(-1,2)$

Where,

$\mu =-1$

$\sigma =2$

Now, we can compute the $z$score as follow:

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

Place the given values in the above equation.

Then,

$z=\frac{2-(-1)}{2}$

$=\frac{2+1}{2}$

$=\frac{3}{2}$

Simplify,

localid="1648722577874" $z=1.5$