Mathematics · Probability Concepts and Distributions

Which of the following statements regarding probability concepts and distributions are correct? A. A discrete random variable takes only finite or countably infinite values, while a continuous random variable spans uncountably infinite values within a specified range. B. In a Poisson experiment, the probability of success is proportional to the size of the region, and the probability of success in an extremely small region approaches zero. C. While independent events occur when the occurrence of one has no impact on the other, two independent events with non-zero probabilities cannot be mutually exclusive. D. In the context of Bayes' Theorem, the probability of the hypothesis being true given the available evidence is defined as Marginalization. Choose the most appropriate answer from the options given below: