{8.} (5 marks) A random variable X has probability density function: 15 M for cgm2 lm): 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 (G) 1.6532 (D) 1.5726 (E) 1.4273