Practice Approximations for Large 𝑛 - 9 | 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

What is the normal approximation for a binomial distribution with n = 40 and p = 0.5?

πŸ’‘ Hint: Calculate np for the mean and np(1-p) for the variance.

Question 2

Easy

In a binomial distribution with n = 50 and p = 0.4, how would you express P(X ≀ 10)?

πŸ’‘ Hint: Adjust by -0.5 and +0.5.

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 approximation for X in a binomial distribution with n = 50 and p = 0.4?

  • N(20
  • 12)
  • N(20
  • 15)
  • N(10
  • 10)

πŸ’‘ Hint: Calculate np and np(1-p) first.

Question 2

Using continuity correction, how would P(10 ≀ X ≀ 20) be expressed?

  • True
  • False

πŸ’‘ Hint: Remember the adjustments made for P(X).

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Challenge Problems

Push your limits with challenges.

Question 1

A company makes 1,000 light bulbs, with a 2% defect rate. Approximate the probability of finding at least 21 defective bulbs in a sample using normal approximation and continuity correction.

πŸ’‘ Hint: Use z-score formula to find the probability.

Challenge and get performance evaluation