Question 1
Which of the following is the correct formula for the cumulative distribution function (CDF) of a Poisson random variable $X$ with mean $\lambda$?
Question 2
Suppose $X$ is a binomial random variable with $n = 10$ and $p = 0.3$. What is the probability that $X$ is greater than or equal to 8?
Question 3
Which of the following statements correctly describes the relationship between a binomial distribution and a Poisson distribution?
Question 4
Suppose $X$ is a Poisson random variable with mean $\lambda = 2.5$. What is the probability that $X$ is at most 2?
Question 5
Which of the following scenarios is best modeled by a Poisson distribution?