Problem

George spins a coin three times and observes no heads. He then gives the coin to Hilary....

George spins a coin three times and observes no heads. He then gives the coin to Hilary. She spins it until the first head occurs, and ends up spinning it four times total. Let θ denote the probability the coin comes up heads.

a. What is the likelihood of θ?

b. What is the MLE of θ?

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