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. X = the number of aces observed when you draw three random cards v of 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(x) 0.786527 of 0.1966317706 2vos 0.01638598088 of 0.00045516613 x c) Determine the shape of the probability distribution of x. Select an answer The probability distribution of x is |Right-skewed n d) Find the mean number aces drawn when three cards are random N a H = 0.2308 of S E(X) The mean of a discrete probability distribution is also notated by v x Which of the following is the correct interpretation of the mean? If you draw three random cards with replacement over and over, you can expect to get an average of 0.2309 aces for every three cards drawn e) Find the standard deviation for the number of aces drawn when three cards are randomly selected. 0 = 1 0.4615 ~ of f) Find the probability of drawing one or more aces. P(one or more aces) = 0.213473 of