Page< 3 of 3 Let f(x) be the probability density function graphed below on the interval 0 < x <40 and assume that f(x) is zero elsewhere. 1. Find k. k == 2. Find the centroid of the region above, given that Mr 1350 and My = 80 p. Does this make sense graphically? 3. Find the mean value of the probability density function on 0 < x < 60. Hint: There is no need to integrate to find this value. Q Search T L O f(x) 20 40 A Alternative formats O |- ZOOM >

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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Page<
3
of 3
Let f(x) be the probability density function graphed below on the interval 0 < x <40 and assume that f(x) is zero
elsewhere.
1. Find k.
k
==
2. Find the centroid of the region above, given that Mr 1350 and My = 80 p.
Does this make sense graphically?
3. Find the mean value of the probability density function on 0 < x < 60.
Hint: There is no need to integrate to find this value.
Q Search
T
L
O
f(x)
20
40
A Alternative formats
O
|-
ZOOM
>
Transcribed Image Text:Page< 3 of 3 Let f(x) be the probability density function graphed below on the interval 0 < x <40 and assume that f(x) is zero elsewhere. 1. Find k. k == 2. Find the centroid of the region above, given that Mr 1350 and My = 80 p. Does this make sense graphically? 3. Find the mean value of the probability density function on 0 < x < 60. Hint: There is no need to integrate to find this value. Q Search T L O f(x) 20 40 A Alternative formats O |- ZOOM >
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