1.) Let ? be a deck of cards. Define a random variable X such that for any card c in the deck the number value on the card for all numbered cards X(0) = 10 for any face cards (jack, queen, king) 11 for any ace What is E(X)? 2.) For a continuous random variable X,where c is any one isolated number what is: P(X = c) Hint: For continuous random variables we always calculate things like: 3.) Suppose annual snow fall is normally distributed with = 54inches and = 6. What is the probability that within a given year there will be snowfall totalling between 48 inches and 56 inches? 4.) The central limit theorem says as we increase the number of samplings n, the variance of the sampling distribution will