Practice Example 1 – Cumulative Probability (8.2) - Binomial Distribution
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Example 1 – Cumulative Probability

Practice - Example 1 – Cumulative Probability

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Practice Questions

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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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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