Question

As above, let Y1,…,Yn denote the i '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, we will abbreviate this assumption with the notation Y1,…,Yn∼iidY .

Which of the following converges to E[Yi]=E[Y] as n→∞ ?
(Choose all that apply.)
a) total number of 1'sn
b) Yn
c) Median(Y1,…,Yn)
d) 1n∑i=1nYi