Use the binomial model to find the approximate hypergeometric probability of at least two damaged flash drives in a sample of five taken from a shipment of 150 that contains 30 damaged flash drives.
A)0.9421
B)0.0579
C)0.7373
D)0.2627

Question

Quizplus · Accepted Answer

The binomial model can approximate the hypergeometric distribution when the sample size is small compared to the population size. Here, the probability of a damaged flash drive is 30/150 = 0.2. Using the binomial distribution with n=5 and p=0.2, we calculate the probability of at least two damaged drives, which is 1 - P(0 or 1 damaged) = 1 - (P(0) + P(1)) = 0.2627.

Use the Binomial Model to Find the Approximate Hypergeometric Probability