Practice IB‐Style Problem - 10 | 5. Binomial Distribution | IB Class 10 Mathematics – Group 5, Statistics & Probability
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics

Grades

Grade 8 Grade 9 Grade 10 Grade 11 Grade 12

Curriculum

CBSE ICSE IB
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

games
Typing
Memory
Math
English Adventures
Knowledge

10 - IB‐Style Problem

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 mock test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the probability of getting exactly 6 answers correct in the same quiz?

💡 Hint: Identify n, k, and p before applying the formula.

Question 2

Easy

How many trials (n) are in the quiz?

💡 Hint: This is the total number of questions in the quiz.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the binomial distribution formula for calculating the probability?

  • P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
  • P(X=k) = n * p * (1-p)^(k-1)
  • P(X=k) = n^k * p^k

💡 Hint: Remember the structure of the binomial probability expression.

Question 2

True or False: The expected value in a binomial distribution is calculated as n * p.

  • True
  • False

💡 Hint: Recall the definition of expected value for binomial scenarios.

Solve 3 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A student takes a 30-question quiz where he has a 0.4 probability of answering a question correctly. What is the probability he gets at least 12 correct?

💡 Hint: Use binomial calculator for cumulative sums.

Question 2

In a manufacturing process, the probability of producing a defective item is 0.1. If 50 items are produced, what is the expected number of non-defective items?

💡 Hint: Adjust the probability to reflect successes.

Challenge and get performance evaluation