  Question

My math problem is:

50% of the students enrolled in a business statistics course had previously taken a finite math course. 30% of these students received an A for the statistics course, whereas 20% of the other students received an A for the statistics course. What is the probability that a student selected at random received an A in the statistics course?

There is a tree diagram representing the problem shown above, and the first part of the problem is selecting all of the paths that satisfy the event, which are:

-Students who had previously taken a finite math course and did not receive an A in the business statistics course.

-Students who had previously taken a finite math course and received an A in the business statistics course.

-Students who did not previously take a finite math course and received an A in the business statistics course.

-Students who had previously taken a finite math course and received an A in the finite math course.

-Students who did not previously take a finite math course and did not receive an A in the business statistics course.

I'm having trouble figuring out which ones are true.

Step 1

Given 50% of students enrolled in buisiness statitics course enrolled in finite math course.

among them 30% recieved an A in statistics and 20% of other half of students received A in statistics course.

Showing as tree diagram representing the given question.

Step 2

So here we need to select the path that a student who took finite math course and did not get A in statistics. Here the path is shown in red line.

Step 3

So here  the path that a student who took finite math course and  got A in statistics is shown in red line.

So here  the path that a student who did not took finite math course and  got A in statistics is shown in blue line.

So here  the path that a student who took finite math cour...

Want to see the full answer?

See Solution

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Basic Probability 