Answered: Terri Vogel, an amateur motorcycle…

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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Question

Terri Vogel, an amateur motorcycle racer, averages 129.65 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.27 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N(Correct,Correct)

b. Find the proportion of her laps that are completed between 128.6 and 130.97 seconds.

c. The fastest 3% of laps are under seconds.

d. The middle 60% of her laps are from seconds to seconds.

Hint:

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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