Question: 1.Problem 10.5 The numbers U1 and U2 are chosen at random from the interval (0, 1), independently of each other. Let the random variables V

1.Problem 10.5 The numbers U1 and U2 are chosen at random from the interval

(0, 1), independently of each other. Let the random variables V and W be defined by V = min(U1,U2) and W = max(U1,U2). What are the probability density functions of the random variables V and W?

10.1 Concept of probability density 291

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