Answered: A fire department in a rural county…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 30EQ

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Question

A fire department in a rural county reports that it's response time to fires is approximately normally distributed with a mean of 22 minutes and a standard deviation of 11.9 minutes. Assume that this claim is true. Ninety-nine percent of the time, the fire department responds to a fire within how many minutes? Round to the nearest whole minute.

Assume n > 3.
For any x E R" set
x = (x1,..., Xn-1,–Xn).
The Neumann Green's function on H = {x € R"
: xn > 0}
is given by
1
S, (n-2)
|x-y|*-2
n-2
1.
1.
Sn (n-2)
n-2
(4-4)4
1
-
Sn
n-1
171-
1
Sn
1
1.
--
n-1

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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