(a) Find the mode (the mode occurs at the highest point on normal curves and equals the mean) of the normal distribution given by e-4x-71²12_ (b) What is the mean of this normal distribution? (c) Use a graphing utility to verify your answer. 0 y 0.5 0.4 0.3 0.2 0.1 -10 Need Help? 3 -3 10 y 0.5 0.4 0.1 15 3 20 10 X @ -25 -20 -15 -10 -5 y 0.5 0.4 0.3 0.2 0.1 0 y 0.5 0.4 0.3 0.2 0.1 5 10 15 20

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) Find the mode (the mode occurs at the highest point on normal curves and equals the mean) of the normal distribution given by
e-4x-71²12_
(b) What is the mean of this normal distribution?
(c) Use a graphing utility to verify your answer.
0
y
0.5
0.4
0.3
0.2
0.1
-10
Need Help?
3
-3
10
y
0.5
0.4
0.1
15
3
20
10
X
@
-25
-20
-15
-10
-5
y
0.5
0.4
0.3
0.2
0.1
0
y
0.5
0.4
0.3
0.2
0.1
5
10
15
20
Transcribed Image Text:(a) Find the mode (the mode occurs at the highest point on normal curves and equals the mean) of the normal distribution given by e-4x-71²12_ (b) What is the mean of this normal distribution? (c) Use a graphing utility to verify your answer. 0 y 0.5 0.4 0.3 0.2 0.1 -10 Need Help? 3 -3 10 y 0.5 0.4 0.1 15 3 20 10 X @ -25 -20 -15 -10 -5 y 0.5 0.4 0.3 0.2 0.1 0 y 0.5 0.4 0.3 0.2 0.1 5 10 15 20
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