why do you think two random variables are independent why do we need independence and identical distribution why is it necessary to have an identical distribution for a random variable how can two random variables be drawn from an identical distribution if two random variables are drawn from the same distribution why doesn't this guarantee they are independent? why is a random variable an independent variable and why is it required? why is the central limit theorem dependent if both variables can be drawn from an identical distribution why does an identical distribution not guarantee independent why is an identical distribution required for a central limit theorem how to know if a variable is independent from an identical distribution why do id conditions guarantee independence when two random variables are drawn from identical distributions, why does this guarantee they are independent? why isn't an identical distribution independent how do random variables get independent if two variables are drawn from an identical distribution, why doesn't this guarantee they are independent? why is identical distribution necessary why not both independence and identical distribution when two variables are drawn from an identical distribution, why doesn't this guarantee they are independent? which condition for the central limit theorem is necessary for a distribution to be independent? if a random variable is drawn from an identical distribution, why does it not guarantee it is independent?