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###### 4 and 5 please 4. The class registrations of 100 students are analyzed. I is found...

4 and 5 please

4. The class registrations of 100 students are analyzed. I 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. 5. The probability that Intel will locate in Shanghai, China, is 0.4, the probability that it will l locate in either Shanghai locate in Beijing, China, is 0.5, and the probability tha or Beijing or both is 0.7. Answer the following (a) Let S = Shanghai and B = Beijing. From the statement above. list ALL of the probabilities that are given. Example: What is P(B)? (b) What is the probability that Intel will locate in both cities? (c) What is the probability that Intel will locate in neither city?

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