Exercise 2: Finding the Area Under the CurveIn Major League Baseball, the average fastball pitch is 90 miles per hour, μ = 90, with a standard deviation of 3 miles per hour, σ = 3. A pitcher’s fastball is 96 miles per hour. Is he among the fastest 1 percent of pitchers? A pitcher’s fastball is 95 miles per hour. Is he among the fastest 2.5 percent of pitchers? A pitcher’s fastball is 85 miles per hour. Is he among the slowest 2.5 percent of pitchers? A pitcher’s fastball is 80 miles per hour. Is he among the slowest 1 percent of pitchers? Use Assignment05_Data.xlsx to solve these problems. Or, you may use the Area Under the Curve Table and a handheld calculator. The key part of your solution is used the correct z-value. Remember: z-values can be positive or negative. The Area Under the Curve Table only shows positive z-values. Because the normal curve is symmetrical, the probability of negative z-values are the same has their corresponding positive z-values.

Introduction: Denote the random variable, Denote X as the fastball pitch of a randomly selected…

Answered: Exercise 2: Finding the Area Under the…

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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Exercise 2: Finding the Area Under the Curve

In Major League Baseball, the average fastball pitch is 90 miles per hour, μ = 90, with a standard deviation of 3 miles per hour, σ = 3.

A pitcher’s fastball is 96 miles per hour. Is he among the fastest 1 percent of pitchers?

A pitcher’s fastball is 95 miles per hour. Is he among the fastest 2.5 percent of pitchers?

A pitcher’s fastball is 85 miles per hour. Is he among the slowest 2.5 percent of pitchers?

A pitcher’s fastball is 80 miles per hour. Is he among the slowest 1 percent of pitchers?

Use Assignment05_Data.xlsx to solve these problems. Or, you may use the Area Under the Curve Table and a handheld calculator. The key part of your solution is used the correct z-value. Remember: z-values can be positive or negative. The Area Under the Curve Table only shows positive z-values. Because the normal curve is symmetrical, the probability of negative z-values are the same has their corresponding positive z-values.

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