Answered: The average travel time from your…

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

100%

The average travel time from your residence to your school is 35 minutes, with a standard deviation of 10 minutes. If you want to be 99% certain that you will not be late for your first 8:00 am class, what is the latest time you should leave home? Assume that travel time is normally distributed. Find the areas of the following z-scores

2.
The average travel time from your residence to your school is 35 minutes with a
standard deviation of 10 minutes. If you want to be 99% certain that you will not
be late for your first 8:00 am class, what is the latest time you should leave home?
Assume that travel time is normally distributed.
Application (Creativity)
A Find the areas of each of the following z-4cores:
Z-scores
1.
0.99
2 -0.52
3.
0.66
4.
1.87
5. -2.58
6. 3.16
7.
-0.12
8. -1.25
9.
2.09
10. 0.50
B.
Calculate the probabilities of the following:
1. P(O <z<144)
2. P(-2.81 <z< 0)

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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