If the random variable wasn't uniformly distributed, the probability density would cause it to bedcome more concentrated on some parts of the sample space, so the overall volume would decrease. Consider a random variableXrep-resenting the number that comes up on a roulette wheel and a random variable representing the number that comes up on a fair 6-sided die. ( P ( ⌊ X ⌋ = n)), which is in [ 0, ∞] as a sum of nonnegative terms, since − x log. Filling a gap in the contemporary literature this is an invaluable reference for a number of disciplines, including mathematicians, computer scientists, computational biologists, and structural chemists. This will be the topic of the next section. Because Xis discrete we can de ne a new variable Y = p(X) taking values in the open interval 0

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