A company has 125 personal computers. The probability that any one of them will require repair on a given day is 0.025. To find the probability that exactly 20 of the computers will require repair on a given day, one will use what type of probability distribution?
A) binomial distribution
B) Poisson distribution
C) all of the above
D) none of the above

Question

Quizplus · Accepted Answer

The scenario presented follows the conditions for a binomial distribution, as it involves a fixed number of trials (125 personal computers), a binary outcome (require repair or not), independence between trials (one computer's outcome does not affect the outcome of another), and a constant probability of success (0.025). Therefore, the probability of exactly 20 computers requiring repair can be calculated using the binomial probability formula. The Poisson distribution could be used if the problem asked for the probability of a certain number of computer repairs over a given time interval, but that is not the case here.

A Company Has 125 Personal Computers