Question: 40) A random number X, uniformly distributed on [0, 1], divides [0, 1] into 2 segments of lengths X and (1-x). Let R be

40) A random number X, uniformly distributed on [0, 1], divides [0,

40) A random number X, uniformly distributed on [0, 1], divides [0, 1] into 2 segments of lengths X and (1-x). Let R be the ratio of the smaller to the larger segment (i.e., RX/(1-X), or R = (1-x)/X, depending on whether X 1/2 or X > 1/2. The distribution of R, F(r), that is the probability that R

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