Practice Approximation to Normal Distribution - 18X.7 | 18. Binomial Distribution | Mathematics - iii (Differential Calculus) - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the continuity correction factor when estimating a binomial distribution using a normal distribution?

πŸ’‘ Hint: Think about how we adjust for the differences between discrete and continuous.

Question 2

Easy

State the Z-score formula.

πŸ’‘ Hint: What does the Z-score help us do?

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 Z-score formula for approximating a binomial distribution?

πŸ’‘ Hint: Think about standard deviations.

Question 2

True or False: The normal approximation for the binomial distribution is only valid when p is close to 0 or 1.

  • True
  • False

πŸ’‘ Hint: Recall when we said the approximation is effective.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A researcher finds that in a population of 1000 people, 40% are left-handed. If we sample 100 individuals, use the normal approximation to find the probability that at least 45 are left-handed.

πŸ’‘ Hint: Start with np and npq calculations.

Question 2

You conduct an experiment with 50 trials where the probability of success is 0.3. Use the normal approximation to find the probability of getting between 10 and 20 successes.

πŸ’‘ Hint: Don't forget to adjust your limits!

Challenge and get performance evaluation