I need the Python code with the output for the question. Thank you.

(b) Consider the joint density f(x,y)=2,0x1,0yx 1) (4pts) Write down the two conditional densities f(xy) and f(yx), carefully specify the range of each conditional distribution. 2) (8pts) Write down the detailed steps of simulating (X,Y) by using Gibbs sampling. Drop the first 30 simulated (X,Y) from the burn-in period, make a scatter plot for another 200 simulated (X,Y) on the xy plane. [Note: The domain of (X,Y) is a triangular region.]