Practice Binomial Probability Formula (4) - Binomial Distribution - IB 10 Mathematics – Group 5, Statistics & Probability
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Binomial Probability Formula

Practice - Binomial Probability Formula

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Calculate the probability of getting exactly 2 heads when flipping a fair coin 3 times.

💡 Hint: Use the binomial probability formula.

Question 2 Easy

In 5 trials with a success probability of 0.6, find the probability of 1 success.

💡 Hint: Identify n, k, and substitute in the formula.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the binomial probability formula used to calculate?

The probability of getting at least k successes
The probability of getting exactly k successes
The mean of successes

💡 Hint: Remember, it specifies 'exactly'.

Question 2

True or False: The parameters n and p in a binomial distribution must remain constant.

True
False

💡 Hint: Consider the definitions of a binomial setup.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A basketball player has an 80% free-throw success rate. If they take 12 shots, what is the probability that they score at least 10 successful shots?

💡 Hint: Use the cumulative formula: 1 - P(X ≤ 9).

Challenge 2 Hard

In a manufacturing process, 95% of products pass quality control. If 200 products are tested, what is the mean and standard deviation of products that pass?

💡 Hint: Use the mean and standard deviation formulas for binomial distributions.

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