Practice Example 2 – Cumulative Probability - 8.2 | 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 probability of getting at most 1 head when flipping a coin 3 times.

💡 Hint: Remember to use the formula for the binomial probability.

Question 2

Easy

What does at least 3 successes mean when calculating cumulative probability?

💡 Hint: Think about the complement rule.

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 cumulative probability for at most k successes?

  • P(X = k)
  • Σ P(X = i) for i <= k
  • 1 - P(X ≤ k-1)

💡 Hint: Consider what 'cumulative' means.

Question 2

True or False: P(X ≥ k) can be calculated as 1 - P(X ≤ k).

  • True
  • False

💡 Hint: What does 'at least' indicate?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have a biased coin that lands heads 30% of the time. After 10 flips, calculate the probability of getting at least 2 heads.

💡 Hint: Use the complement to find at least.

Question 2

In a survey of 100 households, 70 have internet access. If 10 households are randomly sampled, what's the cumulative probability that at least 5 have internet?

💡 Hint: Remember to find the probabilities for the range.

Challenge and get performance evaluation