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.