Twenty five items are sampled.Each of these has the same probability of being defective.The probability that exactly 2 of the 25 are defective could best be found by ___.
A)using the normal distribution
B)using the binomial distribution
C)using the Poisson distribution
D)using the exponential distribution
E)using the uniform distribution

Question

Quizplus · Accepted Answer

The binomial distribution is appropriate when the following conditions are met: (1) there are a fixed number of trials, (2) each trial has two possible outcomes (e.g. defective vs. non-defective), (3) the trials are independent, and (4) the probability of success (e.g. being defective) is the same for each trial. In this case, we have a fixed number of 25 items, each with the same probability of being defective. Therefore, the binomial distribution is the best choice for finding the probability of exactly 2 of the 25 items being defective.

Twenty Five Items Are Sampled