A
manufacturing firm finds that 70% of its new hires turn out to be good workers
and 30% turn out to be poor workers. All current workers are advised to qualify
a reasoning test. Of the good
workers, 80% pass it and 40% of the poor workers pass it. If the company makes
the reasoning test be a part of
its hiring procedure, what then is the probability of the new hires that will
turn out to be
a. Good workers?
b. Poor workers?
c. Depict these probabilities on the Bay’s
tree diagram
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