1; Asia has become a major competitor of the United States and Western Europe in education as well as economics. Here are the counts of first university degrees conferred in science and engineering in the three regions: United Western States Europe 61,941 158,931 111,158 140,126 182,166 116,353 355,265 415,410 Field Engineering Natural Science Social Science Total Give answers correct to three decimal places A. Find the probability that the degree conferred was in engineering. B. Find the probability that the degree conferred was in engineering, given that the region was Asia. Asia 280,772 242,879 236,018 759,669 . Total 501,644 494,163 534,537 1,530,344 C. Are the events "degree in engineering" and "Asia" independent? Explain. D. Find the probability that the region was the United States, given that the degree conferred was in social science. E. Are the events "United States" and "degree in social science" independent? Explain. F. Find the probability that the degree conferred was in natural science or social science. G. Find the probability that the degree conferred was in engineering or the region was the United States. H. Find the probability that the degree conferred was in the social science and the region was Asia. In a certain college with 987 students there are 363 students who have taken a course in calculus (and possibly other math courses), 228 who have take a course in discrete mathematics (and possibly other math courses), and 119 who have taken a course in both calculus and discrete mathematics. How many students at this college have taken a course in either calculus or discrete mathematics or both? Your final answer should be a single integer but you must explain the calculations you did to get it.