There is a special calculator that when used to add numbers up,
it always rounds up or down the number to the closest integer and
ignore the decimals. For example, you want to add 1.1+2+3.6, it
will show can calculate as 1+2+4, etc. Assume the error from each
adding follows uniform distribution on (-0.5, 0.5).
When adding 1500 numbers together, what is the probability of
the absolute value of total error is greater than 15?
How many numbers can you...