Question: (a) Let X1, . . . ,Xn be iid uniform(0, ). Find the maximum likelihood estimator of . (b) The waiting times for a random

(a) Let X1, . . . ,Xn be iid uniform(0, θ). Find the maximum likelihood estimator of θ.

(b) The waiting times for a random sample of n = 10 passengers of a New York commuter train are: 3.45, 8.63, 8.54, 2.59, 2.56, 4.44, 1.80, 2.80, 7.32, 6.97.

Assuming that the waiting times have the uniform(0, θ) distribution, compute the MLE of θ and the model-based estimate of the population variance.

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