The requirement that the probability of success remains constant from trial to trial is a property of the _________________ distribution.
A)binomial
B)uniform
C)normal
D)Poisson
E)hypergeometric

Question

Quizplus · Accepted Answer

The binomial distribution is defined by a fixed number of independent trials, each with a constant probability of success. This property is known as the "independence and identical distribution principle," and it distinguishes the binomial distribution from other distributions such as the Poisson or hypergeometric distributions, which do not have constant probabilities of success. The uniform distribution also has a constant probability of success, but it is not a discrete distribution like the binomial distribution. The normal distribution does not involve discrete events with binary outcomes like the other distributions, making it a less appropriate choice for this question.

The Requirement That the Probability of Success Remains Constant from Trial