Suppose we are taking measurements X_1. .., X_N These measurements are independent and identically distributed These measurements come from a certain distribution. This distribution could ba Gaussian with zero mean and variance 1. his distribution could also be Gaussian with mean 5 and variance 1. We don't know which is the case, Instead of having access to all of the measurements, if someone were to process them, which of the following function of the initial measure would you rather have to determine from which distribution the measurements are coming? a) X^2_1 + ... + X^2_N
b) X_1
c) X^2_1 + ... + X^2_N/N