Afirm is accustomed to training operators who do certain tasks on a production line. those operators who attend the training course are known to be able to meet their production quotas 90% of the time. new op- erators who do not take the training course only meet their quotas 65% of the time. fifty percent of new op- erators attend the course. given that a new operator meets her production quota, what is the probability that she attended the program?

58%

Explanation:

The find out the operators who were trained and met quota, 0.9* 0.5 = 0.45

Operators who were not trained but met quota, 0.65*0.5 = 0.325

Since fifty percent operators attended the course, so the probability is 50/50 of completing quota.

Now, probability of all the operators who completed quota of production is 0.45 + 0.325 = 0.775

So, the probability that the operator who completed quota of production is 0.45/ 0.775 = 0.58, i.e. 58%

We can say that there is a 58% chance that she attended the course that is why she completed the production quota.

1. c

2. b

3. a

4. c

5. a

6. b

7. c

8. c

9.b

10. d

just took it 100%