Professor halen has 184 students in his college mathematics lecture class. the scores on the midterm exam are normally distributed with a mean of 72.3 and a standard deviation of 8.9. how many students in the class can be expected to receive a score between 82 and 90?

21

Step-by-step explanation:

Given : The scores on the midterm exam are normally distributed with

Let X be random variable that represents the score of the students.

z-score:

For x=82

For x=90

Now, the probability of the students in the class receive a score between 82 and 90 ( by using standard normal distribution table ) :-

Now ,the number of students expected to receive a score between 82 and 90 are :-

Hence, 21 students are expected to receive a score between 82 and 90 .