Practice Key Properties (6) - Binomial Distribution - IB 10 Mathematics – Group 5, Statistics & Probability
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Key Properties

Practice - Key Properties

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Calculate the mean for n = 8 and p = 0.3.

💡 Hint: Use the formula for mean.

Question 2 Easy

What does the variance represent in a binomial distribution?

💡 Hint: Think about how outcomes can vary.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for the mean in a binomial distribution?

n × (1-p)
n × p
p × (1-p)

💡 Hint: Think about the basic properties of expected values.

Question 2

True or False: Variance is the same as standard deviation.

True
False

💡 Hint: Remember the relationship between variance and standard deviation.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You are conducting an experiment with 12 trials where the probability of success is 0.25. Calculate the mean, variance, and standard deviation of your distribution.

💡 Hint: Use the formulas systematically for each calculation.

Challenge 2 Hard

In a study where 50 respondents answer a true/false question with a 70% success rate, determine the expected number of 'true' answers, variance, and standard deviation.

💡 Hint: Break the problem down: find each part step by step using the formulas we've covered.

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