i.i.d. Consider Y₁,..., Yn Bern(p). Consider the following estimator: p = n Y with probability n-1 with probability/ n Show that p is consistent but not asymptotically unbiased. Hint: We can write p = ZỸ +(1-Z)n where Z~ Bern (¹) and Z is independent of Y. Law of Total Probability may also be helpful.

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