A community college has 150 word processors.The probability that any one of them will require repair on a given day is 0.025.To find the probability that exactly 25 of the word processors will require repair,one will use what type of probability distribution?
A)Normal distribution
B)Poisson distribution
C)Binomial distribution
D)None of these choices.

Question

Quizplus · Accepted Answer

Since we are interested in the number of word processors that require repair, the best probability distribution to use is the binomial distribution. This distribution is used to model the number of successes in a fixed number of trials, where each trial has the same probability of success. In this case, the "success" is a word processor that requires repair, and the "trial" is a particular word processor on a given day. The number of trials is fixed at 150 (the total number of word processors), and the probability of success is 0.025 (the probability that any one of them will require repair on a given day). Therefore, the probability of exactly 25 word processors requiring repair can be calculated using the binomial distribution.

A Community College Has 150 Word Processors