Practice Example 3 – Mean & Variance - 8.3 | 5. Binomial Distribution | IB Class 10 Mathematics – Group 5, Statistics & Probability
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Calculate the mean for n=10 and p=0.2.

💡 Hint: Use the formula μ = n × p.

Question 2

Easy

If n=6 and p=0.5, what is the variance?

💡 Hint: Use the formula σ² = n × p × (1 - p).

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 formula for the mean in a binomial distribution?

💡 Hint: Remember, mean is derived from trials and probability.

Question 2

True or False: The variance is always a positive number.

💡 Hint: Reflect on what variance represents in terms of spread.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A school has 100 students attempting a multiple-choice test with 5 questions. Each answer has a 0.2 probability of being correct. Calculate the mean, variance, and standard deviation for the number of correct answers that you expect.

💡 Hint: Break down the problem into calculating mean, variance, and then derive standard deviation.

Question 2

In an experiment involving 80 coin flips with a probability of heads at 0.6, calculate the expected mean, variance, and standard deviation. Discuss the significance of these measures.

💡 Hint: Use standard formulas to calculate each measure.

Challenge and get performance evaluation