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4. The class registrations of 100 students are analyzed. It is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that i. the student took applied mechanics or chemistry ii. the student did not take either of these subjects. iii. the student took chemistry but not applied mechanics (b) Are studying Applied Mechanics and studying Chemistry mutually exclusive events? Why or why not? Hint: You may want to draw a Venn diagram
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P(C)0.45 0-10

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