In: Advanced Math
In a chaotic world far far away, a professor notices that his
students begin to miss...
In a chaotic world far far away, a professor notices that his
students begin to miss classes randomly- they either show up or not
with no preference. So he decides to take attendance. There are a
total of eight classes in the semester. He knows that if he takes
attendance each time, he will have an absolutely accurate
measurement of his students' overall attendance rate (6/8, 7/8
etc). But he gets lazy and wants to take attendance every other
class (his students don't know about this). Now each attendance
counts for two: if a student shows up in 3 of the 4 times the
professor takes attendance, he gets an overall attendance rate of
6/8. In this case, what is the professor's measurement error of a
student's actual attendance rate? What if the professor take
attendance only twice (each counts for four)? What if he only takes
attendance once (counts for eight)?