Dell Computers receives large shipments of microprocessors from Intel Corp. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Dell decides to test five microprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is defective, the shipment is returned. Calculate the probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors.
A) 0.3995
B) 0.3979
C) 0.5905
D) 0.4550

Question

Quizplus · Accepted Answer

The probability that a microprocessor is not defective is 90% or 0.9. Since Dell tests five microprocessors, the probability that all five are not defective (and thus the shipment is kept) is $0.9^5 = 0.59049$, which rounds to 0.5905.

Dell Computers Receives Large Shipments of Microprocessors from Intel Corp