Question

Please help <3 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 A.
P(A) = [?]
Probability
Enter

Answer 1

0.2 or 20%

Explanation:

The definition of probability is "the number of favorable outcomes over the total number of outcomes". So, to find the probability of someone getting an A, we must:

- Find the Frequency of Someone Getting an A

- Find the Total Frequency of the Distribution

- Divide the Two

As we can see in the table, if we add the Frequencies:

28 + 35 + 56 + 14 + 7 = ?

We get a total of:

140

Looking at the table once more, if we look at the frequency of someone getting an A, we can see that it is:

28

So, if we find the ratio of both values, like so down below:

28 : 140

And simplify it:

28 : 140 = 1 : 5

We can see that the ratio is simplified to 1 : 5, or in decimal and percentage terms, 0.2 and 20%.

Answer 2

To find the probability that a student earns a grade of A, you need to calculate the ratio of the frequency of A grades to the total number of grades.

Given the frequency distribution, we can see that the number of students who earned an A grade is 28. To calculate the probability, divide this number by the total number of students:

P(A) = Number of A grades / Total number of grades

The total number of grades can be obtained by summing up the frequencies of all the grades:

Total number of grades = Frequency of A + Frequency of B + Frequency of C + Frequency of D + Frequency of F

Plugging in the values:

Total number of grades = 28 + 35 + 56 + 14 + 7 = 140

Now, we can calculate the probability:

P(A) = 28 / 140 = 0.2

Therefore, the probability that a student earns a grade of A is 0.2 or 20%.