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Answers for “观察 10 次抛硬币中有 7 次正面的似然函数是什么?”

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The likelihood function is L(p)=(107)⋅p7⋅(1−p)3L(p) = \binom{10}{7} \cdot p^7 \cdot (1-p)^3. It represents the probability of observing 7 heads and 3 tails as a function of the unknown parameter pp, the probability of heads.

Conditions: The number of tosses n=10n=10.; The observed number of heads k=7k=7.; pp is the probability of heads on a single toss.