Forty-eight measurements are recorded to numerous decimal places. Each of these 48 numbers is rounded off to nearest integer. The sum of the original 48 numbers is approximated by sum of these integers. If we assume that the errors made by rounding off are independent and identically distributed as well as have uniform distribution over the interval (-0.5, 0.5), compute approximately the probability that the sum of the integers is within 2 units of the true sum.