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X and Z are random variables. They have the following CDF:
Fx,z(x,z)=0xz1x<0orz<00x1,0z1otherwise Part 1) Are X and Z independently and identically
distributed? Show your working. Are X and Z correlated? Show your working. Part 2) For the
random variable X, find the expectation, median, mode and variance. Show your working.

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  • 1. X and Z are random variables. They have the following CDF: Fx,z(x,z)=0xz1x<0orz<00x1,0z1otherwise Part 1) Are X and Z independently and identically distributed? Show your working. Are X and Z correlated? Show your working. Part 2) For the random variable X, find the expectation, median, mode and variance. Show your working.