Fill in the blanks and provide solution if necessary.

A. Free Throw Shot A player is awarded free throws whenever the player is fouled in a shooting motion. A free throw is counted as one point if the ball went in the basket and zero if it misses. Based on Piel's stats in his previous games, he makes 60% of his ee throws. To improve: he shot 5 ee throws every day in practice Suppose the random variable, X: is the number of times Pie] makes a basket in 5 free throw attempts. This illustrates a random experiment following a distribution 'Witl'l number of trials, 13, equal to and probability of making a basket, p, . Accordingly: below is the probability distribution table for the number of baskets made in his practice, X. X 0 l 2 3 4 5 P[X=x] 0.0102 0.0?68 0.2304 0.3456 0.2592 In his practice: the probability that he can get 2 to 4 points is . TWhile the chance that he will make a perfect score is B. Perimeter Shot A perimeter shot, also known as a mid-range shot: is ajump shot or general field goal attempt that an offensive player can take inside of the threepoint line and is worth 2 points. To practice this: Piel has to choose four different shooting spots among the ve different spots in where he is comfortable of shooting. In previous games: his shot selection is 5% from the right baseline (Spot 1): 15% from the right elbow (Spot 2), 20% om the top of the lit}? (Spot 3), 25% from the left elbow (Spot 4) and 35% from the left baseline (Spot 5). In this drill, a shooting spot can be selected once: multiple times: or not at all. This drill illustrates a random experiment 1with _ To help Piel decide: below is the partial table for the means and standard deviations of the random variable, Y: or the number of times he shoot the ball in a shooting spot. Em SD[Y] 0.4359 0.?141 0.0000 0.8660 The shooting spot that will least likely be selected is while the Spot 5 is the most probable one. In addition, the number oftimes he will shoot in Spot 5 deviates oin the mean of 1.4 by _ It is also expected that the number oftirnes he will shoot in Spot 4 in four randomly selected shooting spots is