Question 1: Find the value of c that makes each of the following valid probability density functions. (a) For a > 0, B > 0: Sc.e- for a > « f (x) = с otherwise. (b) f (x) = c · [G(x))* g(x) for x E R, = C• where G(x) and g(x) are the cumulative distribution function and density function (respec- tively) of some other random variable defined on R.

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A: (a)The value of c can be derived as follows:

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