Compare Normal and Poisson Distributions in Statistics
AppleData Scientist · Technical Screen
Last updated
Evaluates statistical understanding of Normal and Poisson distributions for counts and continuous measurements. Strong answers compare support, parameters, use cases, Normal approximation conditions, and mean-variance derivations.
Scenario
You are modeling event counts versus continuous measurements and must choose the appropriate statistical distribution.
Question
Explain the main differences between the Normal and Poisson distributions. Under what conditions can a Poisson distribution be approximated by a Normal distribution? Derive the mean and variance for each.
Hints
Focus on support, parameters, shape, CLT conditions, λ→∞ approximation.
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