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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 >

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 For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 29CR
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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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