question archive Twenty points are chosen randomly and independently on the interval (0,1)

Twenty points are chosen randomly and independently on the interval (0,1)

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Twenty points are chosen randomly and independently on the interval (0,1). a. Find the probability that the
point nearest 1 exceeds 0.95 b. Find the number 0 such that the probability is 0.75 that the point nearest zero
will exceed 0. c. Find the mean of the minimum value.

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