part D only please... ignore first sentence

1. Consider this table giving the approximate (simplified) family size distribution from the 2000 US Census: Size of familyy Proportion p(y) Let Y = the size of a randomly selected family in the year 2000. Y is a discrete RV with probability distribution given by the above table. a. (5) Make a probability histogram for Y (by hand is M use your favorite graphing program). b. (5) Find the true mean of the distribution of Y (also called E(Y) = p) c. (5) Find the true variance of the distribution of Y, also called Var(Y) = m2. Take the square root to find the standard deviation of the population 5y. d. (5) Watch Monday's lecture 06 on sampling distributions before doing this one: Consider a random sample of size 400 drawn with replacement from this population. What is the (approximate) probability that the sample's mean family size ( ) is less than 3.13? What theorem did you use to do this calculation