1. A person is asked to shufe a standard deck of cards, draw one card, look at it, and place it back into the deck. If this procedure is repeated, nd the probability of drawing the Ace of Spades (for the rst time) a) on the 5th draw. (1 point) b) within the rst 6 draws. (1 point) 2. The mean number of trout caught by a sportsman at a certain lake is 2.3 per hour. What is the probability of the sportsman catching a) exactly 4 trout in a twohour outing? (1 point) b) at least 4 trout in a two-hour outing? (1 point) 3. A pool of potential jurors has 12 lefthanded persons and 35 righthanded persons. We must randomly select 12 to form a jury. What is the probability that a randomly selected jury has 3 who are lefthanded and 9 who are righthanded? (2 points) 4. A certain large data set is normally distributed, and has mean ,u = 45.3 and standard deviation 0' = 3.1. a) Find the zscore for a: = 52. (1 point) b) Find the area between the data values 1:\