Suppose  𝑋 ∼ 𝐵 𝑖 𝑛 𝑜 𝑚 ( 𝑛 = 10 , 𝑝 ) and we observe a random sample of size 3:  𝑥 1 = 0 , 𝑥 2 = 3 , and  𝑥 3 = 1 .  Once we have the log-likelihood function ℓ ( 𝑝 ) , what value will be 𝑝 ^ , the MLE for 𝑝 ?单项选择题

A

The 𝑝 such that ℓ ( 𝑝 ) = 0 .

B

The 𝑝 that minimizes ℓ ( 𝑝 ) .

C

The 𝑝 that maximizes ℓ ( 𝑝 ) .

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