Practice Worked Examples (8) - Binomial Distribution - IB 10 Mathematics – Group 5, Statistics & Probability
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

Worked Examples

Practice - Worked 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 flipping a fair coin 3 times?

💡 Hint: Use the formula with n = 3 and p = 0.5.

Question 2 Easy

Calculate the mean for a binomial distribution where n = 4 and p = 0.25.

💡 Hint: Remember the formula for mean.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the binomial distribution model?

Count of failures
Count of successes in trials
Sum of all trials

💡 Hint: Think about what outcomes we're measuring.

Question 2

True or False: The mean of a binomial distribution is always greater than zero.

💡 Hint: Consider the value of p in the formula.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A bakery produces 200 loaves of bread daily, estimating 5% are defective. Using binomial distribution, calculate the probability of getting exactly 15 defective loaves in a day.

💡 Hint: Utilize the binomial formula with correct values.

Challenge 2 Hard

In a survey of 150 people, the probability of selecting someone who prefers tea is 0.4. Calculate the probability that at least 60 people prefer tea.

💡 Hint: Use binomial cumulative distribution to simplify calculations.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.