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For those who are still stumped by the Math HL Prelim 2010 P2 Q3 involving P( |X-2| > a ) = 0.25 it’s somewhat related to Math HL Prelim 2008 P3 Q5iii that I mentioned a few months back about the use of Solver, and can be handled similarly without having to think (ahem) about the bounds being x standard deviations away from the mean and hence assume that it’s negligible.

I guess this specific concept is actually in HL Core Statistics; the earlier parts of the 2008 question were decidedly not so that entire question was placed in P3.

The Mathematics HL Statistics Option and your TI-84+ GDC: why you should know how to use the Solver.  The fun part is that you actually can have multiple variables within the Solver expression, which will all appear on the next page after you press down. Slot in (n-1) values, go to the last one, and Solve it. It’s useful for all kinds of things, but I’m too tired now to cook up other examples.  Correction (6/10/2010): the final line in solver should be 0 = normalcdf(-A,A,46.63,2.133) - 0.4. Click for high-res photo

The Mathematics HL Statistics Option and your TI-84+ GDC: why you should know how to use the Solver. 

The fun part is that you actually can have multiple variables within the Solver expression, which will all appear on the next page after you press down. Slot in (n-1) values, go to the last one, and Solve it. It’s useful for all kinds of things, but I’m too tired now to cook up other examples. 

Correction (6/10/2010): the final line in solver should be 0 = normalcdf(-A,A,46.63,2.133) - 0.4.