The heights of 2000 students are normally distributed with a mean of 165.5 centimeters and a standard deviation of 7.1 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would be expected to have heights (a) less than 152.0 centimeters? (b) between 163.5 and 175.0 centimeters inclusive? (c) equal to 166.0 centimeters? d) greater than or equal to 183.0 centimeters?