Practice Partial Differential Equations - 19 | 19. Poisson 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 probability of receiving exactly 2 emails in an hour if the average is 5?

πŸ’‘ Hint: Use the formula provided in class.

Question 2

Easy

Define Ξ» in the context of Poisson distribution.

πŸ’‘ Hint: Think about what average means in statistics.

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 does the Poisson distribution model?

  • Continuous events in time
  • Discrete events in time or space
  • Events with a fixed outcome

πŸ’‘ Hint: Recall the basic definition we discussed.

Question 2

True or False: The mean and variance of a Poisson distribution are always equal.

  • True
  • False

πŸ’‘ Hint: Think back to the properties we just focused on.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A hospital averages 10 patients arriving every hour. What is the probability that exactly 15 patients will arrive in the next hour?

πŸ’‘ Hint: Break it down using the PMF formula.

Question 2

In a factory, the average number of defects is 0.5 per item. If 100 items are produced, what is the likelihood of finding exactly 4 defects?

πŸ’‘ Hint: Consider what the average means in this scenario.

Challenge and get performance evaluation