MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Question 10**

Terri Vogel, an amateur motorcycle racer, averages 129.98 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.3 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( ___ , ___ )

b. Find the proportion of her laps that are completed between 127.94 and 130.9 seconds. ___

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

d. The middle 70% of her laps are from ___ seconds to ___ seconds.

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Transcribed Image Text:**Question 10** Terri Vogel, an amateur motorcycle racer, averages 129.98 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.3 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( ___ , ___ ) b. Find the proportion of her laps that are completed between 127.94 and 130.9 seconds. ___ c. The fastest 3% of laps are under ___ seconds. d. The middle 70% of her laps are from ___ seconds to ___ seconds. **Hint:** Helpful videos: - [Find a Probability](#) - [Finding a Value Given a Probability](#) - [Hint](#) **Question Help:** - Message instructor **[Submit Question]**
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