Mathematics
Mathematics, 14.02.2020 02:21, 19nnash

refer to the following information:
Two methods, A and B, are available for teaching a certain industrial skill. There is an 80% 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 25% of the time (method A is used the other 75% of the time). The following notations are suggested:

a. A - method A is used
b. B - method B is used
c. L - the skill was learned successfullyWhich of the following is the correct representation of the information that is provided to us?

a. P(A)= .75, P(B) = .25, P(L |a) =. 80, P(L | B) = .95
b. P(A) = .75, P(B) = .25, P(A | L) = .80, P(B | L) = .95
c. P(A) = .75, P(B) = .25, P(A and L) = .80, P(B and L) = .95
d. P(A | L) = .75, P(B | L) = .25, P(L |a) = .80, P(L | B) = .95
e. P(A and L) = .75, P(B and L) = .25, P(L |a) = .80, P(L | B) = .95What is the probability that a worker will learn the skill successfully?

a. P(L) = .75 * .80 = .60
b. P(L) = .25 * .95 = .2375
c. P(L) = .75 * .25 + .80 * .95 = .9475
d. P(L) = .75 * .95 + .25 * .80 = .9125
e. P(L) = .75 * .80 + .25 * .95 = .8375

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

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