As above, let Y₁, ..., Yₙ denote the ó'th number in the binary data set. Recall that Y₁, ...., Yₙ are assumed to be independent and identically distributed (i. i. d.) as some distribution Y. In the future, wre will abbreviate this assumption with the notation Y₁, ...., Yₙ ~ Y. Which of the following converges to E[Yᵢ] = E[Y] as n → [infinity]?
a. total number of 1's/n
b. Yₙ
c. Median (Y₁, ...., Yₙ)
ₙ
d. 1/n Σ Yᵢ
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