Question

The grade distribution of the many students in a geometry class is as follows. Grade A B C D F Frequency 28 35 56 14 7 Find the probability that a student earns a grade of D

Answer 1

10%

Explanation:

To find the probability that a student earns a grade of D, you'll need to use the formula for probability:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

In this case, the favorable outcome is a student earning a grade of D, and the total number of possible outcomes is the total number of students.

Given the grade distribution:

Grade D Frequency = 14 (Number of favorable outcomes)

Total number of students = Sum of the frequencies for all grades = 28 + 35 + 56 + 14 + 7 = 140

Now, plug these values into the probability formula:

Probability of earning a grade of D = (Number of D grades) / (Total number of students)

Probability of earning a grade of D = 14 / 140

Calculate the probability:

Probability of earning a grade of D = 0.1

So, the probability that a student earns a grade of D is 0.1, or 10%.