Perimeter Shot - A perimeter shot, also known as a mid-range shot, is a jump shot or general field goal attempt that an offensive player can take inside of the three-point line and is worth 2 points. To practice this, Piel has to choose four different shooting spots among the five 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% from the top of the key (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 with distribution. 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. Shooting Spot E[M] SD[Y] Spot 1 0.2 0.4359 Spot 2 0.6 0.7141 Spot 3 0.8 0.8000 Spot 4 0.8660 Spot 5 1.4 The shooting spot that will least likely be selected is while the Spot 5 is the most probable one. In addition, the number of times he will shoot in Spot 5 deviates from the mean of 1.4 by It is also expected that the number of times he will shoot in Spot 4 in four randomly selected shooting spots is

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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B. Perimeter Shot - A perimeter shot, also known as a mid-range shot, is a jump shot or general
field goal attempt that an offensive player can take inside of the three-point line and is worth 2
points. To practice this, Piel has to choose four different shooting spots among the five 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% from the top of the key (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 with
distribution. 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.
Shooting Spot
E[Y]
SD[Y]
Spot 1
0.2
0.4359
Spot 2
0.6
0.7141
Spot 3
0.8
0.8000
Spot 4
the mean of 1.4 by
will shoot in Spot 4 in four randomly selected shooting spots is
0.8660
Spot 5
1.4
The shooting spot that will least likely be selected is
while the Spot
5 is the most probable one. In addition, the number of times he will shoot in Spot 5 deviates from
It is also expected that the number of times he
Transcribed Image Text:B. Perimeter Shot - A perimeter shot, also known as a mid-range shot, is a jump shot or general field goal attempt that an offensive player can take inside of the three-point line and is worth 2 points. To practice this, Piel has to choose four different shooting spots among the five 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% from the top of the key (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 with distribution. 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. Shooting Spot E[Y] SD[Y] Spot 1 0.2 0.4359 Spot 2 0.6 0.7141 Spot 3 0.8 0.8000 Spot 4 the mean of 1.4 by will shoot in Spot 4 in four randomly selected shooting spots is 0.8660 Spot 5 1.4 The shooting spot that will least likely be selected is while the Spot 5 is the most probable one. In addition, the number of times he will shoot in Spot 5 deviates from It is also expected that the number of times he
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