Minimum of four uniforms

What is the expected value of the minimum of four independent U[0,1]U[0,1] variables? (to 3 decimals)

Show hints (2)+
  1. Use the survival function P(min > t).
  2. E[min] of n uniforms = 1/(n+1).

Answer

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0.2 (± 0.005)

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Asked at: Citadel, DRW

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