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5. As a vaccine scientist, you are required to test your newly developed vaccine in two (2) different populations, populations X and Y to ensure
5. As a vaccine scientist, you are required to test your newly developed vaccine in two (2) different populations, populations X and Y to ensure the safety and effectiveness of the vaccine. There are 3190 subjects from database X and 6094 subjects from database Y. Therefore, you must select a number of subjects from populations X and Y to form a group. The newly formed of group must consist of subjects from both populations without repetition. The maximum number of groups which can be formed is denoted as d. a. Use Euclidean algorithm to find d = GCD(X, Y). [5 marks] b. Find the integers s and t such that d=sX+tY [6 marks] c. With the answer obtained from a, what is the ratio of subjects selected from population X and Y, Py: Py. [2 marks] d. Find Least Common Multiple for X and Y. LCM(X, Y). [2 marks]
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