multiple choice question\nwhich of the following statements is true for both the binomial and poisson…

multiple choice question\nwhich of the following statements is true for both the binomial and poisson distributions?\nboth are discrete probability distributions.\nthe sample size (n) is very large, and the probability of success (π) is close to 0.5.\na random variable that can assume any value within a range of values.

multiple choice question\nwhich of the following statements is true for both the binomial and poisson distributions?\nboth are discrete probability distributions.\nthe sample size (n) is very large, and the probability of success (π) is close to 0.5.\na random variable that can assume any value within a range of values.

Answer

Brief Explanations:

  • Binomial distribution models discrete counts of successes in fixed trials; Poisson distribution models discrete counts of events in an interval, so both are discrete.
  • The second option describes a scenario where Poisson approximates binomial, not a trait of both.
  • The third option describes continuous random variables, which neither distribution uses.

Answer:

A. Both are discrete probability distributions.