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

18X.7 - Approximation to Normal Distribution

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

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

💡 Hint: Think about how we adjust for the differences between discrete and continuous.

Question 2 Easy

State the Z-score formula.

💡 Hint: What does the Z-score help us do?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the Z-score formula for approximating a binomial distribution?

💡 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

💡 Hint: Recall when we said the approximation is effective.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

💡 Hint: Start with np and npq calculations.

Challenge 2 Hard

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.

💡 Hint: Don't forget to adjust your limits!

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