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2 Maximum Likelihood [25pts] 2.1 Discrete Example 17pts) Suppose you are playing two unfair coins. The probability of tossing a tail is θ for coin 1, and 20 for coin 2. You toss each coin for several times, and you get the following results: (a) What is the probability of tossing a head for coin 1 and for coin 2 3pts? Coin No. eult head head tail head tail tail (b) what is the likelihood of the data given θ [7pts? (c) What is maximum likelihood estimation for θ [7pts

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