1) The height distribution of a (somewhat bizarre) population can be written as f(h) = a(h-ho) over the range ho ≤h ≤ h₁, where a = 0.7 m² and ho = 0.3 m. When ho > h> h₁, f(h) = 0. a. Sketch f(h). b. What is the value of h₁ (Hint: normalization condition)? c. Assuming that the mass m of each inhabitant is related to his or her height by m = ch², where c = 30 kg/m², what is the mean mass of an inhabitant?
1) The height distribution of a (somewhat bizarre) population can be written as f(h) = a(h-ho) over the range ho ≤h ≤ h₁, where a = 0.7 m² and ho = 0.3 m. When ho > h> h₁, f(h) = 0. a. Sketch f(h). b. What is the value of h₁ (Hint: normalization condition)? c. Assuming that the mass m of each inhabitant is related to his or her height by m = ch², where c = 30 kg/m², what is the mean mass of an inhabitant?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Transcribed Image Text:1) The height distribution of a (somewhat bizarre) population can be written as f(h) = a(h-ho)
over the range ho ≤h ≤ h₁, where a = 0.7 m² and ho= 0.3 m. When ho> h> h₁, f(h) = 0.
a. Sketch f(h).
b. What is the value of h₁ (Hint: normalization condition)?
c. Assuming that the mass m of each inhabitant is related to his or her height by m = ch²,
where c = 30 kg/m², what is the mean mass of an inhabitant?
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