A quality control inspector receives a shipment of 10 computer monitors.From the 10 monitors, the inspector randomly chooses 6 for inspection.If the probability of a monitor being defective is 0.08, what is the probability that at least one of the monitors chosen by the inspector is defective? Round to the nearest hundredth.
A) 0.39
B) 0.27
C) 0.45
D) 0.26
E) 0.35

Question

Quizplus · Accepted Answer

The probability that at least one of the monitors chosen is defective is easier to calculate by finding the complement, which is the probability that none of the monitors chosen are defective. The probability that a single monitor is not defective is 1 - 0.08 = 0.92. For 6 monitors, this probability is $0.92^6$. The probability of at least one defective monitor is then $1 - 0.92^6$, which rounds to approximately 0.39.

A Quality Control Inspector Receives a Shipment of 10 Computer