Homework StatementOne sixth of the male freshman entering a large state school are out of state students. If the students are assigned at random to the formitories, 180 to a building.
1) What approximately is the probability that in a given dormitory at least one fifth of the students are from out of state? (Hint Continuity Correction)
2) What approximately, is the median of the number of the out of state students in a given dormitory?
The Attempt at a SolutionThe part I am unsure of has to do with the 'continuity correction'. My book gives the impression on the page prior to introducing this formula that continuity correction has to do with subtracting .5 from the value of x.
The explanation for this comes from a section titled 'The Normal Distribution and Discrete Populations'. It says that because the rectangles of a histogram are centered at integers, the rectangle representing 36 actually begins at 35.5. So I am unsure if I should plug in 36, or 35.5 into the formula.