Conditional Probability and Independence Checkpoint 2 University of Alabama EC 410
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Course
EC 410
Institution
EC 410
MODULE CONDITIONAL PROBABILITY AND INDEPENDENCE
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Question 1 of 5
These days with the cost of a college education it is important to be able to graduate with a bachelors degree in 4 years. The
National Association of Independent Colleges and Universities (NAICU) certainly would encour...
BACK TO COURSE (/COURSEWARE/PAGE/SL_STATS_V1/_U3_M02_CAUSATION_AND_EXPERIMENTS3)
MODULE CONDITIONAL PROBABILITY AND INDEPENDENCE
Step 1 of 1
Question 1 of 5 Points: 0 out of 10
These days with the cost of a college education it is important to be able to graduate with a bachelors degree in 4 years. The
National Association of Independent Colleges and Universities (NAICU) certainly would encourage students to attend
independent schools. They provided the following information:
(i) 20% of all college students attend private colleges and universities.
(ii) 55% of all college students graduate in 4 years.
(iii) 79%
of students attending private colleges and universities graduate in 4 years.
What is the probability that a randomly chosen student attended a private school and graduated in 4 years?
.55 / .79 = .6962
.20 / .55 = .3636
.20 / .79 = .2532
.55 * .79 = .4345
.20 * .55 = .11
.20 * .79 = .158
This is not quite right. It appears that you used: P(Pr and G) = P(G) / P(G | Pr). Recall that the General
Multiplication Rule states the following: P(Pr and G) = P(Pr) * P(G | Pr) or P(G) * P(Pr | G). Look at the
given information and consider the remaining options. (F) is the correct answer.
The next four questions refer to the following information:
Two methods, A and B, are available for teaching a certain industrial skill. There is a 75% chance of successfully
learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is
substantially more expensive and is therefore used only 20% of the time (method A is used the other 80% of the
time).
The following notations are suggested:
• A—method A is used
• B—method B is used
• L—the skill was Learned successfully
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