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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
In a Binomial distribution, what parameters define the model?
π‘ Hint: Think about what characterizes a Binomial experiment.
Question 2
Easy
What does the Ξ» (lambda) represent in the Poisson distribution?
π‘ Hint: This is a rate 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 condition necessary for the Binomial distribution to approach the Poisson distribution?
- n becomes finite
- n approaches infinity and p approaches zero
- p becomes 1
π‘ Hint: Consider 'infinity' as a keyword.
Question 2
True or False: The mean and variance of the Poisson distribution are both equal to Ξ».
- True
- False
π‘ Hint: Recall the properties of the Poisson distribution.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A renewable energy facility produces, on average, 20 power outages per month. Calculate the probability of having exactly 5 outages next month. Use Ξ»=20.
π‘ Hint: Convert the values into the Poisson formula carefully.
Question 2
Discuss how you would use the Poisson distribution to model the call volume in a call center with an average of 10 calls per hour. What assumptions must be kept in mind?
π‘ Hint: Think about independence and rate stability.
Challenge and get performance evaluation