19.X.3 - Derivation of Poisson Distribution as a Limit of Binomial Distribution
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Practice Questions
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In a Binomial distribution, what parameters define the model?
💡 Hint: Think about what characterizes a Binomial experiment.
What does the λ (lambda) represent in the Poisson distribution?
💡 Hint: This is a rate parameter.
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Interactive Quizzes
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What is the condition necessary for the Binomial distribution to approach the Poisson distribution?
💡 Hint: Consider 'infinity' as a keyword.
True or False: The mean and variance of the Poisson distribution are both equal to λ.
💡 Hint: Recall the properties of the Poisson distribution.
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Challenge Problems
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A renewable energy facility produces, on average, 20 power outages per month. Calculate the probability of having exactly 5 outages next month. Use λ=20.
💡 Hint: Convert the values into the Poisson formula carefully.
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?
💡 Hint: Think about independence and rate stability.
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