Question: Let y [0, 1] be the probability that a certain slot machine yields a success. The slot machine is played n times, and the results

Let y [0, 1] be the probability that a certain slot machine yields a success. The slot machine

is played n times, and the results are recorded as a vector (x1, x2, . . . , xn), where xi = 1 if

there was a success on the i-th play of the slot machine, and xi = 0 otherwise.

(i) What is the probability of obtaining x for a given y?

(i) Determine the Maximum Likelihood estimate hML of y.

(ii) Is the Maximum Likelihood estimate of y unbiased?

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