A certain type of battery has a 0.5% failure rate. Find the probability that a shipment of 1,000 batteries has more than two defective batteries.
A) 0.125
B) 0.175
C) 0.600
D) 0.875

Question

Quizplus · Accepted Answer

The probability of more than two defective batteries can be found using the Poisson approximation to the binomial distribution. With a failure rate of 0.5% and 1,000 batteries, the expected number of failures (λ) is 5. The probability of having 0, 1, or 2 defective batteries is calculated using the Poisson probability formula, and then subtracted from 1 to find the probability of having more than two defective batteries, which is approximately 0.875.

A Certain Type of Battery Has a 0