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Suppose you are playing two unfair coins. The probability of tossing a tail is θ for coin 1, and 2θ for coin 2. You toss each coin several times, and you get the following results:

Coin No.Result head head tail head tail tail

(a) What is the probability of tossing a head for coin 1 and for coin 2 [3pts]?

(b) What is the likelihood of the data given θ [7pts]?

(c) What is maximum likelihood estimation for θ [7pts]?

math   Statistics-And-Probability   
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Answer #1

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