In: Statistics and Probability
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: A—method A is used B—method B is used L—the skill was Learned successfully
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