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Elementary Statistics Midterm C Fall 2017 Name_ Show your work in the blue books

ID: 3326153 • Letter: E

Question

Elementary Statistics Midterm C Fall 2017 Name_ Show your work in the blue books. Keep your eyes on your own paper. Any talking to another student will cancel your test. 3. It is known that 65% of college students like rap music. In a group of 4S students, find the probability that: a) Exactly 31 like rap music. b) Between 27 and 33 (inclusive) like rap music c) Less than 27 like rap music S points points 3 points 5 points d) More than 33 like rap music.. 4. The following chart compares occupations with salaries. Salary Range Occupation Accountant Teacher 40,000 or less 41 to 70,000 71 to 100,000 More than 100,000 total 20 10 10 10 25 30 25 10 90 35 35 40 30 140 110 115 80 105 410 5 Total 130 Find the probability that a person selected from this group at random is: a) a teacher. b) a lawyer earning more than 100,000. c) a nurse or someone earning between 41,000 and 70,000. d) a teacher and a nurse. 5 points S points 5 points 5 points 5 points 5 points 5 points e) A lawyer or someone earning between 71,000 and 100,000. f an accountant given that they earn between 41,000 and 70,000. g) a person earning 40,000 or less given that they are a nurse.

Explanation / Answer

a) P(teacher) = 115/410 = 0.28

b) P(lawyer > 100,000) = 55/410 = 0.134

c) P(nurse or earning between 41k - 70k) = 80/410 + 90/410 - 25/410

P = 0.354

d) P(teacher and a nurse) = 0

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