Please label each part. Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap race) with a standard deviation of 2.28 seconds. Thedistribution of her race times is normally distributed. We are interested in one of her randomly selected laps.Part (a)In words, define the random variable X.the distance (in miles) of each racethe time (in seconds) per racethe distance (in miles) of each lapthe time (in seconds) per lapO Part (b)Give the distribution of X.O Part (c)Find the percent of her laps that are completed in less than 132 seconds. (Round your answer to two decimal places.)%O Part (d)The fastest 3% of her laps are under how many seconds? (Round your answer to two decimal places.)secO Part (e)Enter your answers to two decimal places.The middle 80% of her lap times are fromseconds toseconds.

Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap race) with a standard deviation of 2.28 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. O Part (a) In words, define the random variable X. O the distance (in miles) of each race O the time (in seconds) per race O the distance (in miles) of each lap O the time (in seconds) per lap O Part (b) Give the distribution of X. O Part (c) Find the percent of her laps that are completed in less than 132 seconds. (Round your answer to two decimal places.) % O Part (d) The fastest 3% of her laps are under how many seconds? (Round your answer to two decimal places.) sec O Part (e) Enter your answers to two decimal places. The middle 80% of her lap times are from seconds to seconds.

Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap race) with a standard deviation of 2.28 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. O Part (a) In words, define the random variable X. O the distance (in miles) of each race O the time (in seconds) per race O the distance (in miles) of each lap O the time (in seconds) per lap O Part (b) Give the distribution of X. O Part (c) Find the percent of her laps that are completed in less than 132 seconds. (Round your answer to two decimal places.) % O Part (d) The fastest 3% of her laps are under how many seconds? (Round your answer to two decimal places.) sec O Part (e) Enter your answers to two decimal places. The middle 80% of her lap times are from seconds to seconds.

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

Please label each part.

Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap race) with a standard deviation of 2.28 seconds. The
distribution of her race times is normally distributed. We are interested in one of her randomly selected laps.
Part (a)
In words, define the random variable X.
the distance (in miles) of each race
the time (in seconds) per race
the distance (in miles) of each lap
the time (in seconds) per lap
O Part (b)
Give the distribution of X.
O Part (c)
Find the percent of her laps that are completed in less than 132 seconds. (Round your answer to two decimal places.)
%
O Part (d)
The fastest 3% of her laps are under how many seconds? (Round your answer to two decimal places.)
sec
O Part (e)
Enter your answers to two decimal places.
The middle 80% of her lap times are from
seconds to
seconds.

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