Practice Example 4 – At least π‘˜ - 8.4 | 5. Binomial Distribution | IB Class 10 Mathematics – Group 5, Statistics & Probability
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8.4 - Example 4 – At least π‘˜

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does it mean to calculate P(X β‰₯ k)?

πŸ’‘ Hint: Think about how the complement rule works.

Question 2

Easy

If you roll a die 6 times, what is the probability of rolling a 4 at least once?

πŸ’‘ Hint: First find the P(rolling 4 once, twice, etc.) then sum these probabilities.

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 does P(X β‰₯ k) indicate?

  • The exact probability of k
  • The probability of k or more successes
  • None of the above

πŸ’‘ Hint: Think of what it means to take into account more than just k.

Question 2

True or False: To find P(X β‰₯ k), you calculate P(X ≀ k) first.

  • True
  • False

πŸ’‘ Hint: What does the complement rule tell you?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You are conducting a study where success is defined as a participant answering correctly. If there are 100 questions and each participant is expected to answer 70% correctly, what is the probability that a randomly selected participant can answer at least 80 questions correctly?

πŸ’‘ Hint: Use the complement for those answering fewer than 80.

Question 2

In an experiment with 50 trials where success is defined as flipping heads, find the probability of obtaining at least 20 heads if the coin is fair.

πŸ’‘ Hint: Calculate the cumulative probability for heads less than 20.

Challenge and get performance evaluation