4. Statistics

Discrete Distributions — Quiz

Test your understanding of discrete distributions with 5 practice questions.

Practice Questions

Question 1

A discrete random variable $X$ follows a Negative Binomial distribution with parameters $r=3$ and $p=0.2$. What is the probability of achieving the 3rd success on the 7th trial?

Question 2

Which of the following distributions is characterized by the number of trials required to achieve a fixed number of successes?

Question 3

A random variable $Z$ follows a Poisson distribution with a mean of $2.5$. What is the probability that $Z$ is greater than or equal to 1?

Question 4

In a Binomial distribution, if the number of trials ($n$) is large and the probability of success ($p$) is small, which other discrete distribution can be used as an approximation?

Question 5

A company's quality control department inspects batches of 100 items. The probability of a single item being defective is $0.02$. What is the expected number of defective items in a batch?