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3. Let X be uniformly distributed on [0,1]. Find the probability that 6X^2 - 5X + 1 is greater than zero.

The problems are from 400 level probability class but introductory course. Please specify the terms you use (if necessary) and explain each step of your solutions.

3. Let X be uniformly distributed on [0,1]. Find the probability that 6X^2 - 5X + 1 is greater than zero.

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