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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the mean of a Poisson distribution represented by Ξ»?
π‘ Hint: Remember, Ξ» stands for the average number.
Question 2
Easy
True or False: The variance of a Poisson distribution is different from its mean.
π‘ Hint: Check if both values are defined by the same parameter.
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 mean of a Poisson distribution?
- Ξ»
- Ξ»^2
- 2Ξ»
π‘ Hint: Think back to how we defined Ξ» earlier.
Question 2
True or False: The sum of two independent Poisson variables is also Poisson.
- True
- False
π‘ Hint: Recall the additive property discussed.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A bookstore receives an average of 10 customers per hour. Calculate the probability that exactly 15 customers will visit in the next hour.
π‘ Hint: Rewrite the PMF equation and plug in the values for Ξ» and k.
Question 2
In a factory, defective items occur with a mean rate of 0.5 defect per meter. Find the probability of having no defects in a 5-meter stretch of items.
π‘ Hint: Identify the Ξ» first, then apply the Poisson PMF for k = 0.
Challenge and get performance evaluation