q = P[H]

You toss a coin 5 times, get heads on the fifth toss

X~Geometric(q)

max Px(5;q) = (1-q)^4*q

derivative: (1-q)^4 - 4*(1-q)^3*q

4*q = 1 - q

q = 1/5

q = P[H]

You toss a coin 5 times, get heads on the fifth toss

X~Geometric(q)

max Px(5;q) = (1-q)^4*q

derivative: (1-q)^4 - 4*(1-q)^3*q

4*q = 1 - q

q = 1/5

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