Question: A discrete random variable X takes -1, 0, and 1 as its values. It is known that X has the same probability to take -1

A discrete random variable X takes -1, 0, and 1 as its values. It is known that X has the same probability to take -1 and 1, though the exact probability mass function is unknown. If in 10 tests, -1 appears 3 times, 1 appear 4 times, and 0 appears 3 times, what is the maximum likelihood estimation for the probability of X = 1? Derive the result step by step.

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