Question

If the area to the right of $x$ in a normal distribution is $0.543$, what is the area to the left of$x$?

Short answer

The area to the left of$x$is$0.457$

Step-by-step solution

Given Information

Given in the question that, If the area to the right of $x$in a normal distribution is$0.543,$

We have to find the right of the$x$

Explanation

From the information given in the question, we can represent the probability statement as $P(x>x)=0.543$

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

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

$0.543=1-P(X<x)$

$P(X<x)=1-0.543$

$=0.457$