5. Probability Distributions

Binomial Distribution — Quiz

Test your understanding of binomial distribution with 5 practice questions.

Practice Questions

Question 1

A binomial distribution is used to model the number of successes in a fixed number of independent trials. Which of the following conditions is NOT necessarily true for a binomial experiment?

Question 2

A company's quality control department inspects a batch of 30 items. It is known that $5\%$ of the items produced are defective. What is the probability that exactly 3 items in the batch are defective? Round your answer to four decimal places.

Question 3

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

Question 4

A student is taking a multiple-choice test with 10 questions. Each question has 4 possible answers, and only one is correct. If the student guesses randomly on all questions, what is the probability of getting at least 2 questions correct? Round your answer to four decimal places.

Question 5

A binomial distribution has a mean of $8$ and a variance of $4.8$. What is the probability of success ($p$) for this distribution?