19.X.2 - Properties of Poisson Distribution
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Practice Questions
Test your understanding with targeted questions
What is the mean of a Poisson distribution represented by λ?
💡 Hint: Remember, λ stands for the average number.
True or False: The variance of a Poisson distribution is different from its mean.
💡 Hint: Check if both values are defined by the same parameter.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the mean of a Poisson distribution?
💡 Hint: Think back to how we defined λ earlier.
True or False: The sum of two independent Poisson variables is also Poisson.
💡 Hint: Recall the additive property discussed.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A bookstore receives an average of 10 customers per hour. Calculate the probability that exactly 15 customers will visit in the next hour.
💡 Hint: Rewrite the PMF equation and plug in the values for λ and k.
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.
💡 Hint: Identify the λ first, then apply the Poisson PMF for k = 0.
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