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plz show me the full process of the question thx P4.4 Consider three independent uniformly distributed points X, Y, Z in [0, 1]. Define W

plz show me the full process of the question thx

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P4.4 Consider three independent uniformly distributed points X, Y, Z in [0, 1]. Define W to be the central value of the three when they are arranged in order of increasing size. Compute the cdf Fw(a) and the pdf fw(a). What is the probability that W lies in the central third of [0, 1]. Hints: The probability that any one of the RVs lies to the left of a (where r E (0, 1) is x. Also, the condition W

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