Practice Key Discrete And Continuous Distributions (2) - Statistics - Mathematics III (PDE, Probability & Statistics)
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Key Discrete and Continuous Distributions

Practice - Key Discrete and Continuous Distributions

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define the binomial distribution.

💡 Hint: Think about success and failures.

Question 2 Easy

What is the formula for the Poisson distribution?

💡 Hint: Recall the average occurrence.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the probability mass function of the binomial distribution?

💡 Hint: Think about combinations.

Question 2

True or False: The mean and variance of a Poisson distribution are both equal to λ.

💡 Hint: Consider characteristics of λ.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A factory produces light bulbs, and historically, 3% are defective. If 200 bulbs are selected, what is the probability of finding exactly 6 defective bulbs?

💡 Hint: First find the necessary combination and then apply the probabilities.

Challenge 2 Hard

In a small town, the average number of accidents at a certain intersection is 1.5 per month. Calculate the probability of observing exactly 3 accidents in a month.

💡 Hint: Remember to compute e raised to the negative of λ.

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