question archive The university’s library has been randomly surveying patrons over the last month to see who is using the library and what services they have been using
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The university’s library has been randomly surveying patrons over the last month to see who is using the library and what services they have been using. Patrons are classified as undergraduate, graduate, or faculty. Services are classified as reference, periodicals, or books. The data for 350 people are given below. Assume a patron uses only one service per visit.
Find the probability that a randomly chosen patron
a) Is a graduate student
b) Visited the periodicals section, given the patron is a graduate student
c) Is a faculty member, given a reference section visit
d) Is an undergraduate who visited the book section
| Patron | Reference | Periodicals | Book | |
|---|---|---|---|---|
| Undergraduate | 44 | 26 | 72 | 142 |
| Graduate | 24 | 61 | 20 | 105 |
| Faculty | 16 | 69 | 18 | 103 |
| 84 | 156 | 110 |

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