Practice Definition - 19.X.1 | 19. Poisson Distribution | Mathematics - iii (Differential Calculus) - Vol 3
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Definition

19.X.1 - Definition

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the PMF of a Poisson distribution?

💡 Hint: It involves the average rate of events (λ).

Question 2 Easy

If λ = 3, what is the mean of the distribution?

💡 Hint: Recall that mean and variance are equal in Poisson distribution.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the mean of a Poisson distribution?

💡 Hint: It’s the same as the variance.

Question 2

True or False: The Poisson distribution can be used to describe the number of emails received in an hour.

💡 Hint: Consider real-life counting scenarios.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A store receives, on average, 20 customers per hour. Calculate the probability that exactly 15 customers arrive in the next hour.

💡 Hint: Apply the PMF of the Poisson distribution!

Challenge 2 Hard

In a research study, a reviewer finds an error in 1 out of every 30 submissions. If 300 submissions were reviewed, calculate the probability of finding 10 errors.

💡 Hint: Use your established λ to find the probability!

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