Jane plans to take a college algebra course with Mr. Doodle, determine the empirical probability that she receives at least a B.

What data do you have about Mr. Doodle's grading system?

Does he grade strictly on a curve? Do the majority of his student receive at least a B?

http://regentsprep.org/Regents/math/ALGEBRA/APR5/theoProp.htm

Yes, sorry about that...

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 110

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 at least a B. I think it's 1.77777 ??

To determine the empirical probability that Jane receives at least a B in her college algebra course with Mr. Doodle, we need to first understand what empirical probability means.

Empirical probability is calculated by conducting a series of experiments or observations and then calculating the relative frequency of a specific event occurring.

In this case, Jane's grade in the college algebra course is the event of interest, and we want to calculate the probability of her receiving at least a B. To do this, Jane needs to record her grades in the course over a period of time, preferably multiple semesters or assignments. She should note the number of times she received a B or higher.

Let's assume Jane records 10 grades overall, and she receives at least a B in 7 of them.

To calculate the empirical probability, you divide the number of times the event of interest occurred (at least a B) by the total number of trials or observations (10 grades recorded).

Empirical Probability of Jane receiving at least a B = Number of times Jane received at least a B / Total number of grades recorded
= 7 / 10
= 0.7 or 70%

Therefore, the empirical probability that Jane receives at least a B in her college algebra course is 0.7 or 70%.

It is important to note that empirical probability is based on past events, and as such, it may not accurately predict future outcomes.