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

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.

Patron

Reference

Periodicals

Books

Undergraduate

44

 26

 72

Graduate

24

 61

 20

Faculty

16

 69

 18

 

84

156

110

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.

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