Question 4 of 5 Points: 10 Again we have two methods, A and B, available for tea

Question

Question 4 of 5 Points: 10

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

Explanation / Answer

solution:- option C.  P(L) = .25 * .95 + .75 * .80 = .8375

explanation::-

A is used  chance of successfully learning the skill if method = 0.95

B is used  chance of success = 0.80

A is substantially more expensive and is therefore used only 0.25

the time method B is used the other of the time 0.75

P(L) = .25 * .95 + .75 * .80 = .8375

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