The probability of selecting 3 defective items and 7 good items from a warehouse containing 10 defective and 50 good items would best be modelled with the ___.
A)binomial distribution
B)hypergeometric distribution
C)Poisson distribution
D)hyperbinomial distribution
E)exponential distribution

Question

Quizplus · Accepted Answer

The hypergeometric distribution is used when we want to find the probability of selecting a specific number of items from a population without replacement. In this case, we want to find the probability of selecting 3 defective items and 7 good items from a population of 60 items (10 defective and 50 good), without replacement. Therefore, the hypergeometric distribution is the appropriate choice.

The Probability of Selecting 3 Defective Items and 7 Good