How are you able to remove the 1/n term and the sigma term from the second to last line to the last line?
tanmayghai18
@arjunsrinivasan1997 I'm not a 100% sure, but I think that 1/n term can be removed because the sum from i=1 to n of the integral will introduce a "n" term as we essentially do that operation n times. Thus this new n term cancels with the 1/n term originally.
dwang733
The person above is correct. From the 2nd to 3rd line, we switch from X_i to x as we convert the expectation to an integral. This means the 2nd-to-last line is (1/n) * n * [integral], which simplifies to just the integral
How are you able to remove the 1/n term and the sigma term from the second to last line to the last line?
@arjunsrinivasan1997 I'm not a 100% sure, but I think that 1/n term can be removed because the sum from i=1 to n of the integral will introduce a "n" term as we essentially do that operation n times. Thus this new n term cancels with the 1/n term originally.
The person above is correct. From the 2nd to 3rd line, we switch from X_i to x as we convert the expectation to an integral. This means the 2nd-to-last line is (1/n) * n * [integral], which simplifies to just the integral