Explain how to simulate a random two-dimensional vector with a joint pdf fa(x) that is uniformly distributed in the shaded region. Assume that you have access to independent samples from a uniform distribution in [0, 1]. Explain your method, justifying why it works. Then implement it and submit the code along with a scatterplot of 1,000 samples. 1 0.8 0.6 0.4 0.2 0.25 0.5 0.75 1