You are a general manager of a sports franchise who is evaluating a player on your team. This player has been in the league for 10 years and has scored an average (mean) of 20 points, with a standard deviation of 7. You can assume this data is normally distributed. Using this data, answer the following questions:What is the probability that this player will score 20 points next year? You keep this player and then they do score at least 20 points the following year. The sports media are calling this an exceptional ("career") year. Do you agree with this assessment? Why or why not?What is the probability that this player will score at least 50 points in a given year?You keep this player and they do score 50 points the following year. The sports media are calling this an exceptional ("career") year. Do you agree with this assessment? Why or why not? Assume that your tests scores on college exams have an average (mean) of 70 points, a standard deviation of 10, and are normally distributed. Your decide that for your next exam you are going to attempt a trick for studying which is said to dramatically improve grades. How could you describe what "dramatically improve" really means? What would you have to score in order to be convinced that the trick worked? Assume you score an 80 on this exam. Do you think the trick worked? Why or why not?Assume you score a 30 on this exam. Do you think the trick worked? Why or why not?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are a general manager of a sports franchise who is evaluating a player on your team. This player has been in the league for 10 years and has scored an average (mean) of 20 points, with a standard deviation of 7. You can assume this data is normally distributed. Using this data, answer the following questions:
- What is the probability that this player will score 20 points next year?
- You keep this player and then they do score at least 20 points the following year. The sports media are calling this an exceptional ("career") year. Do you agree with this assessment? Why or why not?
- What is the probability that this player will score at least 50 points in a given year?
- You keep this player and they do score 50 points the following year. The sports media are calling this an exceptional ("career") year. Do you agree with this assessment? Why or why not?

Assume that your tests scores on college exams have an average (mean) of 70 points, a standard deviation of 10, and are normally distributed. Your decide that for your next exam you are going to attempt a trick for studying which is said to dramatically improve grades.
- How could you describe what "dramatically improve" really means?
- What would you have to score in order to be convinced that the trick worked?
- Assume you score an 80 on this exam. Do you think the trick worked? Why or why not?
- Assume you score a 30 on this exam. Do you think the trick worked? Why or why not?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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