3. Single Sampling Distribution (10+10 points): The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters. If 200 random samples of size 36 each are drawn from this population and the means are recorded to the nearest tenth of a centimeter, (a) Determine how many sample means that falls between 172.45 and 175.85 centimeters inclusive; (b) Determine how many sample means falls below 171.95 centimeters