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A survey of 2,500 students was conducted to find out their interest in pursuing careers in Mechanical Engineering and Civil Engineering. 2100 students are interested

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A survey of 2,500 students was conducted to find out their interest in pursuing careers in Mechanical Engineering and Civil Engineering. 2100 students are interested in the career of Mechanical Engineering, 1500 students are interested in the Civil Engineering career and 350 students are not interested in either career. If one of the surveyed students: a) What is the probability that he follows at least one of the engineering careers? b) What is the probability that he followed Mechanical and Civil Engineering? c) What is the probability that he would follow Mechanical Engineering, knowing that he will continue Civil Engineering? d) Knowing that he is going to continue Mechanical Engineering, what is the probability that he will continue Civil Engineering? Hint: Use a double entry table for the given data

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