Question: (a) Let X1, . . . ,Xn represent n weekly counts of earthquakes in North America, and assume they have the Poisson() distribution. Find amodel-based

(a) Let X1, . . . ,Xn represent n weekly counts of earthquakes in North America, and assume they have the Poisson(λ) distribution. Find amodel-based estimator of the population variance.

(b) Let X1, . . . ,Xn represent waiting times of a random sample of n passengers of a New York commuter train, and assume they have the uniform(0, θ)

distribution. Find a model-based estimator of the population mean waiting time.

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