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1. Determine if the function f(x) = 2 on [2, 3] can be a probability density function. (Show your I work to support your answer.) 2. Find the value of k for which the given function is a probability density function. x) = 4!: on [1, 1] 3. Consider the density function f(x) = 3x on the interval [0,2]. Find the Expected Value and the Standard Deviation for the density function