Practice Examples - 18.X.4 | 18. Binomial Distribution | Mathematics - iii (Differential Calculus) - Vol 3
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Examples

18.X.4 - Examples

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the probability of getting exactly 2 heads when tossing a coin 4 times?

💡 Hint: Remember to define n, k, and p before calculating.

Question 2 Easy

A factory produces 90% defect-free products. What is the probability that out of 10 products, exactly 9 are defect-free?

💡 Hint: Use the PMF formula to solve this.

1 more question available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the PMF formula for the Binomial Distribution?

💡 Hint: Think about how to express combinations and probabilities.

Question 2

Is it true that the Binomial Distribution can only have two outcomes?

True
False

💡 Hint: Remember the definition of a Bernoulli trial.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

In a city, 30% of the population is a smoker. If we survey 15 people, what is the probability that exactly 5 are smokers?

💡 Hint: Use the binomial probability formula and remember to calculate the binomial coefficient.

Challenge 2 Hard

A basketball player has a free throw success rate of 75%. If he takes 20 shots, what is the probability that he scores exactly 15 times?

💡 Hint: Keep track of your n, k, p, and q when calculating.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.