Which of the following statements are true for a Poisson distribution? (A) It is a limiting case of a binomial distribution. (B) It was derived by Siméon Denis Poisson. (C) The number of trials is indefinitely small. (D) The constant probability of success for each trial is indefinitely large.

The mean and standard deviation of a Binomial distribution with parameters n, p, and q (where q = 1 - p) are respectively:

In a Binomial Distribution, the formula for calculating the standard deviation is:

Given below are two statements: Statement I: The F-distribution is defined as the ratio of two independent chi-square random variables, each divided by its respective degrees of freedom. Statement II: The Student's t-distribution is symmetric about the origin (mean = 0) with a bell shape similar to the standard normal distribution.