Normalizing a linear density

A density has the form f(x)=cxf(x) = cx on [0,2][0,2] and 00 elsewhere. Find the constant cc.

Show hints (2)+
  1. A density must integrate to 1.
  2. ∫₀² cx dx = 2c.

Answer

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0.5

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Asked at: Optiver, IMC

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