A manufacturer receives a certain component from a supplier in shipments of 100 units. Two units in each shipment are selected at random and tested. If either one of the units is defective the shipment is rejected. Suppose a shipment has 5 defective units. a. Construct the probability distribution for the number X of defective units in such a sample. (A tree diagram is helpful.) b. Find the probability that such a shipment will be accepted.
A manufacturer receives a certain component from a supplier in shipments of 100 units. Two units in each shipment are selected at random and tested. If either one of the units is defective the shipment is rejected. Suppose a shipment has 5 defective units. a. Construct the probability distribution for the number X of defective units in such a sample. (A tree diagram is helpful.) b. Find the probability that such a shipment will be accepted.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:A manufacturer receives a certain component from a supplier in shipments of 100 units. Two units in
each shipment are selected at random and tested. If either one of the units is defective the shipment is
rejected. Suppose a shipment has 5 defective units.
a. Construct the probability distribution for the number X of defective units in such a sample. (A tree
diagram is helpful.)
b. Find the probability that such a shipment will be accepted.
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