Question

15. Suppose X ~ N(2, 6). What value of x has a z-score of three?

Short answer

The value of $x$is$20$

Step-by-step solution

Given Information

Given that,

$z=3$And,

$X~N(2,6)$Where,

$\mu =2$

$\sigma =6$

Explanation

We can Calculate the value of the $z-$score as below:

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

Substitute the provided values in the above expression. Then,

$3=\frac{x-2}{6}$

$x-2=3\times 6$

$x=18+2$

$x=20$