The gre is an entrance exam that many students are required to take in order to apply to graduate school. in 2014, the combined scores for the verbal and quantitative sections were approximately normally distributed with a mean of 310 and a standard deviation of 12.
what is the probability that a randomly selected score is greater than 334? write your answer as a decimal.

The correct answer is 0.0228.

Explanation:
We use a z-score to calculate this.

The formula for a z-score is z=(X-μ)/σ, where μ is the mean and σ is the standard deviation.
We have z=(334-310)/12 = 24/12 = 2.

Using a z-table, we see that the area under the curve to the left of, or less than, this is 0.9772. We want the area to the right of this, or greater than, so we subtract this from 1:
1-0.9772=0.0228.