Question

A person must score in the upper 7% of the population on an admissions test to qualify for membership in society catering to highly intelligent individuals. If test scores are normally distributed with a mean of 110 and a standard deviation of 5, what is the minimum score a person must have to qualify for the society

Answer 1

Answer: The minimum score a person must have to qualify for the society = 147.4

Step-by-step explanation:

Let X be the test scores.

As per given,

X is normally distributed.

Mean $(\mu) = 110$

$\sigma=5$

$\begin{array}{l}\quad P(z>2)=0.07 \\\therefore \quad 1-P(z$

The minimum score a person must have to qualify for the society = 147.4