Question: Please see attachment 6. (6 points) We produce a random real number X through the two-stage experiment. First pick a. number Y in the set

Please see attachment

6. (6 points) We produce a random real number X through the two-stage experiment. First pick a. number Y in the set {2,4} uniformly at random. Then, if Y = 1:, choose X unifomly from the interval (0, k]. (a) Find the cumulative distribution function F(:r) of X. (b) Find the probability density function f (z) of X

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