Two methods, A and B, are available for teaching a certain industrial skill. The

Question

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:

A—method A is used

B—method B is used

L—the skill was Learned successfully

Question 2 of 5 Points: 10

Which of the following is the correct representation of the information that is provided to us?

   P(A) = .25, P(B) = .75, P(A | L) = .95, P(B | L) = .80

   P(A) = .25, P(B) = .75, P(L | A) = .95, P(L | B) = .80

   P(A) = .25, P(B) = .75, P(A and L) = .95, P(B and L) = .80

   P(A and L) = .25, P(B and L) = .75, P(L | A) = .95, P(L | B) = .80

   P(A | L) = .25, P(B | L) = .75, P(L | A) = .95, P(L | B) = .80

Explanation / Answer

Ans:

There is a 95% chance of successfully learning the skill if method A is used:

P(L/A)=0.95

and an 80% chance of success if method B is used:

P(L/B)=0.8

Method A is used 25% of the time:

P(A)=0.25

Method B is used 75% of the time:

P(B)=0.75

So,the correct option is:

P(A) = .25, P(B) = .75, P(L | A) = .95, P(L | B) = .80

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