Question: Consider three independent samples drawn from a geometric distribution X_1; X_2; X_3 Geom(p), but that the value of the parameter p is unknown. 1. What

Consider three independent samples drawn from a geometric distribution X_1; X_2; X_3 Geom(p), but that the value of the parameter p is unknown.

1. What is the value of p that maximizes the likelihood if x_1 = 1; x_2 = 2; x_3 = 1? (You need to solve for p and then also show that the value is indeed a maximum at p.)

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