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

of defective units in such a sample.

b.

Find the probability that such a shipment will be accepted.

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