Refer to Exercise 1. a. Find the conditional probability mass function pY |X (y |0). b. Find the conditional probability mass function pX|Y (x |1). c. Find the conditional expectation E(Y | X = 0). d. Find the conditional expectation E(X | Y = 1)

Week Three Lecture #1: Statistical inference: We infer conclusions about the population with data collected from a subgroup of selected individuals Inference: The value of the statistic changes with the sample sample variability We end up with sampling distribution of the values taken by the statistic in all possible samples of the same size from the same population This distribution is characterized by its center and the spread Center of Distribution: Center of distribution= mean value of the statistic It is related to the bias of the statistic To avoid bias we need randomized samples 2 principle of Experimental design (Randomize) How does randomizing affect the statistic and its distribution Unbiased estimat