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In a math class college there are 22 students. 17 of these students are forensic science majors and 5 are computer science major. The class professor randomly select five students to go to a mathematical statistic retreat in Miami Beach, all expense paid.

a) what is the probability that alol chosen students are forensic science majors?

b) what is probability that all chosen students are computer science majors?

c) what is the expected number of computer science students picked ?

d) what is probability that the division of students picked 3-2, that is either 3 computer science students and 2 forensic science students or 3 forensic science students and 2 computer science students.

e) Suppose that there are two mathematical statistic retreat during a semester and the profesoor randomly select 5 out of 22 students for the second retreat. What is the probability that no computer science students are chosen for either retreat?

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