Question

The distribution of grades in an introductory finance class is normally distributed, with an expected grade of 70. If the standard deviation of grades is 10, in what range would you expect 99.00 percent of the grades to fall?

Answer 1

The range would you expect 99.00 percent of the grades is 44.2 to 95.8

Explanation:

In order to calculate the range would you expect 99.00 percent of the grades we would have to make the following calculation:

range would you expect 99.00 percent of the grades=mean ± 2.58* standard deviation

According to the given data we have the following:

mean=70

standard deviation=10

Therefore, range would you expect 99.00 percent of the grades= 70± 2.58*10

=70 - 2.58*10 to 70 + 2.58*10

Therefore, range would you expect 99.00 percent of the grades=44.2 to 95.8.