Question: {-8.} (5 marks) A random variable X has probability density function: 43:3 15 fOI'CSCES2 foiE) = 0 elsewhere where c is a constant. You want

{-8.} (5 marks) A random variable X has probability density function: 43:3 15 fOI'CSCES2 foiE) = 0 elsewhere where c is a constant. You want to generate four observations of X by using the inverse transform method and then calculate the mean of this sample. You are given that the four random variables U with Uniform (0, 1) are generated to be 0.516, 0.624, 0.243, and 0.815, respectively. Find the second order statistic of the simulated sample. (A) 1.8672 _ (C) 16532 (D) 1.5726 (E) 1.4273

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