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Statistics and Probability 2.(20pts) Suppose we ip a coin, the coin shows head with probability 9. The coin is tossed twice at random for one

Statistics and Probability

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2.(20pts) Suppose we ip a coin, the coin shows head with probability 9. The coin is tossed twice at random for one experiment. Repeating this experiment 11 times, the number of 0, I and 2 heads are 110,111 and 112.01 = no + m + 112) (a) For one experimentnd out the probability of 0, 1 and 2 heads.(Use 9 to express 100, P1, P2) (b) Find the MLE estimator for 6. (c) Find the MOME estimator for 9

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