Practice Ib‐style Problem (10) - Binomial Distribution - IB 10 Mathematics – Group 5, Statistics & Probability
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IB‐Style Problem

Practice - IB‐Style Problem

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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