1. Assume X ~ ? (10, 4) where? implies unknown. n=100 i. What is the (approximate) distribution of if the sample size is 100? Briefly discuss the theorem underlying your answer. ii. What happens to the variance of as the sample size increases? Draw a diagram and explain. iii. What two values of (symmetric around the population mean) contain a) 75% and b) 95% of the distribution? Draw a diagram. Relate your answer to b) to the empirical rule