7. Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you place the card back in the deck, shufe the deck, and draw another card (so each process is independent now). You repeat this process until you have drawn 4-8 cards in all. (1) (10 points) Let X denote the number of hearts that are drawn. For this random variable, nd its expected value and the standard deviation. 4/5 (2) (5 points) Use normal approximation without continuity correction to estimate the probability of drawing at least 9 hearts. (3) (5 points) Use normal approximation with continuity correction to estimate the probability of drawing at least 9 hearts