firm trains operators to do certain tasks on a production line. Those operators

Question

firm trains operators to do certain tasks on a production line. Those operators wheo (6l end the training course are known to be able to meet their production quotas 90% of the time. Operators who do not take the training co time. Fifty percent of operators attend the course. (a) What is the probability that an operator meets her/his production quota? (b) Given that an operator meets his/her production quota, what is the probability t urse only meet their guotas 60% of the he/she attended the course? (6 points

Explanation / Answer

a) probabiliy that operator meets his/her production quota=P(attend course and meets +does not attend course and meets)

=0.5*0.9+0.5*0.6=0.75

b)

probability of attending course given meets production quota=P(attend course and meets)/P(meets quota)

=0.5*0.9/0.75=0.6

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