A little - known tribe has a mass distribution of the form f(m) = p(mm)² over the range m₁ ≤ m ≤ m₁, where p = 3x10-³ kg-³ and mo = 4 kg. a. Sketch f(m) on the assumption that f(m) = 0 when mo> m>mŋ. b. What is the value of mı? c. What is the mean mass of a member of the tribe?

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A little known tribe has a mass distribution of the form f(m) = p(mm)² over the range
mo ≤ m ≤ m₁, where p = 3x10-³ kg-³ and mo = 4 kg.
a. Sketch f(m) on the assumption that f(m) = 0 when mo>m > m₁.
b. What is the value of mi?
c. What is the mean mass of a member of the tribe?
d. Assuming that the annual income of a member of the tribe is related to his or her mass in
the form I = cm³,. Where c = 2 marks/kg³ (the mark being the local unit of currency), what
is the mean annual income of a tribe member?
Transcribed Image Text:A little known tribe has a mass distribution of the form f(m) = p(mm)² over the range mo ≤ m ≤ m₁, where p = 3x10-³ kg-³ and mo = 4 kg. a. Sketch f(m) on the assumption that f(m) = 0 when mo>m > m₁. b. What is the value of mi? c. What is the mean mass of a member of the tribe? d. Assuming that the annual income of a member of the tribe is related to his or her mass in the form I = cm³,. Where c = 2 marks/kg³ (the mark being the local unit of currency), what is the mean annual income of a tribe member?
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