SOLUTION: There are 369 students in a faculty and each one of them spends aprox 6 hours in the library that works 8 hours a day. How many seats should be there in the library so that the cha
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Question 1192672: There are 369 students in a faculty and each one of them spends aprox 6 hours in the library that works 8 hours a day. How many seats should be there in the library so that the chance of finding a free spot would be no less than 74%? Answer by CPhill(1959) (Show Source):
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The minimum number of seats required in the library is 375.
**1. Calculate the maximum number of students potentially in the library at any given time:**
* **Total student-hours:** 369 students * 6 hours/student = 2214 student-hours
* **Maximum concurrent students:** 2214 student-hours / 8 library hours = 276.75 students
* **Round up:** 277 students (since we can't have a fraction of a student)
**2. Calculate the number of seats needed to accommodate at least 74% of students:**
* **Seats required:** 277 students / 0.74 = 374.32 students
* **Round up:** 375 seats
**Therefore, the library should have at least 375 seats to ensure that at least 74% of students can find a free spot.**
**Note:** This calculation assumes a uniform distribution of student library usage throughout the day. In reality, there may be peak times with higher student traffic, which would require a more robust analysis and potentially more seats.
