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 95% chance of successfully learning the skill if method A is used, and an 80% chance of success if method B is used. However, method A is substantially more expensive and is therefore used only 25% of the time (method B is used the other 75% of the time).
The following notations are suggested:
Again we have two methods, A and B, available for teaching a certain industrial skill. There is a 95% chance of successfully learning the skill if method A is used, and an 80% chance of success if method B is used. However, method A is substantially more expensive and is therefore used only 25% of the time (method B is used the other 75% of the time).
What is the probability that a randomly chosen worker will learn the skill successfully?
P(L) = .75 * .80 = .60
P(L) = .25 * .95 = .2375
P(L) = .25 * .95 + .75 * .80 = .8375
P(L) = .25 * .80 + .75 * .95 = .9125
P(L) = .25 * .75 + .95 * .80 = .9475
gain we have two methods, A and B, available for teaching a certain industrial skill. There is a 95% chance of successfully learning the skill if method A is used, and an 80% chance of success if method B is used. However, method A is substantially more expensive and is therefore used only 25% of the time (method B is used the other 75% of the time).
A worker learned the skill successfully. What is the probability that he was taught by method A?
.25×.95=.2375.25×.95=.2375
.95.95
.25×.95.95 + .80≈.1357.25×.95.95 + .80≈.1357
.75×.80.25×.95 + .75×.80≈.7164.75×.80.25×.95 + .75×.80≈.7164
.25×.95.25×.95 + .75×.80≈.2836.25×.95.25×.95 + .75×.80≈.2836
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) cer...
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