Question: 5 . ( 2 0 points ) A firm is accustomed to training operators who do certain tasks on a production line. Those operators who

5.(20 points) A firm 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 operators who do not take the training course only
meet their quotas 65% of the time. Seventy percent of new operators attend the course. Given
that a new operator meets her production quota, what is the probability that she attended
the program, rounded to the nearest 0.1%?

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