Normal distribution problem help. Any advice or guidance on how to use the ti-84 plus calculator would be useful too. Round to 4 decimals please. Thank you! Terri Vogel, an amateur motorcycle racer, averages 129.52 seconds per 2.5 mile lap (in a 7 lap race) with astandard deviation of 2.3 seconds. The distribution of her race times is normally distributed, We areinterested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number ofseconds for a randomly selected lap. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X- Nb. Find the proportion of her laps that are completed between 126.34 and 128.41 seconds.c. The fastest 2% of laps are underseconds.d. The middle 40% of her laps are fromseconds toseconds.Hint:

We have given that. X~N( μ , ?^2 ) μ = 129.52 , ? =2.3 Z-score =( x - μ )/? Note:-According…

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Normal distribution problem help. Any advice or guidance on how to use the ti-84 plus calculator would be useful too. Round to 4 decimals please. Thank you!

Terri Vogel, an amateur motorcycle racer, averages 129.52 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 126.34 and 128.41 seconds.
c. The fastest 2% of laps are under
seconds.
d. The middle 40% 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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