Suppose a number is chosen randomly from the interval [0, 4]. Let X be the value chosen. (So X is a uniform random variable over the interval [0, 4].) (a) What is the probability density function of X? (b) Find E(ex + X³).

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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