Scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. what is the minimum score you would need to be in the top 10%?

From the normal distribution, the minimum score needed to be in the top 10% is of 84.2.

-----------------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean and standard deviation , the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean, and has a p-value associated, which is the percentile of the measure X.

In this problem:

The minimum score you would need to be in the top 10% is of 84.2.

A similar problem is given at link

it would be:

c.parallelogram.