Question

If the area to the left of $x$in a normal distribution is $0.123$, what is the area to the right of $x$?

Short answer

The area to the right of the$x$is$0.877$

Step-by-step solution

Given Information

Given in the question that, the area to the left of $x$in a normal distribution is $0.123$

We have to find the area to the right of the$x$

Explanation

Consider the information given in the question,

The area to the left of $x$can be represented in probability statement as $P(X<x)=0.123$

Therefore, the area to the right of the $x$can be computed as follow:

$P(X>x)=1-P(X<x)$

$=1-0.123$

$=0.877$