There are 440 students at thomas paine high school enrolled in u. s. history. on the april report card, the students’ grades are approximately normally distributed with a mean of 79 and a standard deviation of 7. students who earn a grade less than or equal to 62.9 must attend summer school rounded to the nearest whole number ,how many students who must attend summer school for u. s. history?

5 students.                  

Step-by-step explanation:

We have been given that there are 440 students at Thomas Paine high school enrolled in U.S. history. On the April report card, the students’ grades are approximately normally distributed with a mean of 79 and a standard deviation of 7. Students who earn a grade less than or equal to 62.9 must attend summer school.

To find the number of students who must attend summer camp let us find x-score for our given sample score 62.9.

, where,

= Sample score,

= Mean,

= Standard deviation.

Upon substituting our given values in z-score formula we will get,

Now we will use the normal distribution table to find .

Since the probability of a student getting grade less than 62.9 is 0.01072, so we will multiply 0.01072 by the 440 to get the number of students, who must attend summer school for history.

Therefore, 5 students must attend summer school for U.S. history.