Median of a linear density

A random variable on [0,1][0,1] has density f(x)=2xf(x)=2x. What is its median? Give a decimal to four places.

Show hints (2)+
  1. Integrate the density to get the CDF.
  2. Solve F(x)=12F(x)=\tfrac12.

Answer

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0.7071 (± 0.001)

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