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.
This solution is comprised of a detailed explanation to find the probability that 6X^2 - 5X + 1 is greater than zero.