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2. In probability and statistics, a probability density function (or pdf) of a random variable X on the interval [a, b] is a continuous function f (x) where Find a value for c such that the function is a pdf on the interval [0, 4]. Show your work completely to justify your response. Consider the function . Find the smallest value of b that makes g(x) a pdf on the interval [0, b]. Show your work completely to justify your response