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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
icon
Concept explainers
Topic Video
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.

 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON