Suppose you have an experiment where you draw three cards (with replacement) from a standard deck of 52 cards. You then count the number of aces drawn. Use this experiment to address each of the following questions. Round solutions to four decimal places, if necessary. a) State the random variable. Select an answer b) Construct a probability distribution table for the number of aces obtained when three cards are randomly drawn (with replacement). Enter the x-values from smallest to largest. P(z) c) Determine the shape of the probability distribution of z The probability distribution of z is |Select an answer v d) Find the mean number aces drawn when three cards are randomly selected The mean of a discrete probability distribution is also notated by [ Select an answer v . Which of the following is the correct interpretation of the mean? select an answer e) Find the standard deviation for the number of aces drawn when three cards are randomly selected f) Find the probability of drawing one or less aces. Plane or less area)