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A factory has two machines that produce bolts. Machine I produces 69% of the daily output of bolts, and 8% of its bolts are defective. Machine II produces 31% of the daily output, and 5% of its bolts are defective.
(a) What is the probability that a bolt selected at random will be defective?
(b) If a bolt is selected at random and found to be defective, what is the probability that it was produced by Machine I?
The Decision Sciences department head at a university will be scheduling faculty to teach courses during the coming fall semester.
How many hours of production time will be scheduled in each department?
Let A = {1, 2, 3, 4, 5, 6,12} and define the relation R on A by m R n iff m|n. Show that this relation is a partial ordering relation. Draw its Hasse diagram.
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