Mr. Doodle’s grade distribution over the past 3 years for a course in college algebra is shown in the chart below.

Grade
Number

A
45

B
180

C
210

D
95

F
65

I
5



If Jane plans to take a college algebra course with Mr. Doodle, determine the empirical probability that she receives an A's.

45/600 = 9/120 = 3/40

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5m-6=-3+8m

To determine the empirical probability that Jane receives an A in Mr. Doodle's college algebra course, we need to calculate the proportion of students who received an A.

The empirical probability is calculated by dividing the number of favorable outcomes (number of students who received an A) by the total number of outcomes (total number of students).

In this case, the number of students who received an A is given as 45. To find the total number of students, we need to sum up the numbers for all the grades given in the chart.

Total number of students = Number of students who received an A + Number of students who received a B + Number of students who received a C + Number of students who received a D + Number of students who received an F + Number of students who received an I

Total number of students = 45 + 180 + 210 + 95 + 65 + 5

Total number of students = 600

Now, we can calculate the empirical probability of receiving an A:

Empirical Probability of receiving an A = Number of students who received an A / Total number of students

Empirical Probability of receiving an A = 45 / 600

Empirical Probability of receiving an A ≈ 0.075

Therefore, the empirical probability that Jane receives an A in Mr. Doodle's college algebra course is approximately 0.075 or 7.5%.