Consider a uniform distribution on the integers. As in, there are N balls in a bag labeled 1 toN. We draw a ball, record the value, and replace it. We draw 4 balls. (i) What is the likelihood ofN= 4, i.e. the probability of observing2 2 3 1 if N= 4? (ii) What is the likelihood of N= 3? (iii) What is the likelihood of N= 2? (iv) What is the maximum likelihood estimator for N?

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