The heights of 1000 students are normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters.

The heights of 1000 students are normally distributed with a mean of 174.5

centimeters and a standard deviation of 6.9 centimeters. Assuming that the heights

are recorded to the nearest half-centimeter, how many of these students would you

expect to have heights

(a) Less than 160 centimeters

(b) Between 171.5 and 182 centimeters inclusive?

(c) Equal to 175.0 centimeters

(d) Greater than or equal to 188 centimeters