Question 4 of 5 Points: 1 Again we have two methods, A and B, available for teac

Question

Question 4 of 5 Points: 1 Again we have two methods, A and B, 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). What is the probability that a randomly chosen worker will learn the skill successfully? 0 P(L)..80 * .75 . .60 O P(L)-20 .95-.19 PlL)-"80 * .95 + .20 * .75 , .91 PlL)" .30 * .75 + .20 * .95 . .79 O P(L)-80 * .20 + .75 * .95 .8725

Explanation / Answer

P(A randomly chosen worker will learn skill successfully)

= P( Learn skill given method A is chosen)*P(Chosing method A) + P( Learn skill given method B is chosen)*P(Chosing method B)

= 0.75*0.80 + 0.95*0.20

= 0.79

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