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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
If $X \sim Poisson(2)$ and $Y \sim Poisson(3)$, what is the distribution of $X + Y$?
💡 Hint: Add the means.
Question 2
Easy
Is the sum of two independent Poisson distributions Normal?
💡 Hint: Think about the independence and definition.
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
If $X_1$ and $X_2$ are independent Poisson variables, what type is $X_1 + X_2$?
- Normal
- Poisson
- Uniform
💡 Hint: Reflect on the key properties of Poisson distributions.
Question 2
The means of two independent Poisson distributions combine to a different type of distribution.
- True
- False
💡 Hint: Think about how additive properties work.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
In a service station, cars arrive following Poisson distributions: $A \sim Poisson(5)$, $B \sim Poisson(7)$, and $C \sim Poisson(4)$. What is the mean of total cars arriving?
💡 Hint: Just sum all individual means.
Question 2
A factory has three machinery lines producing defects with averages 2, 3, and 1: $X \sim Poisson(2)$, $Y \sim Poisson(3)$, $Z \sim Poisson(1)$. What is the distribution of total defects?
💡 Hint: Remember to treat each defect source independently.
Challenge and get performance evaluation