MathCastle
Statistics & DataSuperchallengeSampling Distributions

Sampling Distributions · Superchallenge problem

A population consists of the ten numbers 1,2,…,101, 2, \ldots, 10. A random sample of 44 DIFFERENT numbers is drawn (all (104)\binom{10}{4} samples equally likely), and TT is the sum of the sample. Find the variance of TT.