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Conditional Probability and Independence Checkpoint 2 University of Alabama EC 410

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MODULE CONDITIONAL PROBABILITY AND INDEPENDENCE Step 1 of 1 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 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 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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Conditional Probability and Independence Checkpoint 2 | Acrobatiq Page 1 of 4




Tutoring (/lti_navigation_launch/sl_stats_v1/58eeb3630837637d7a50017a)


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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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