In a course on Advanced Water Buffalo Husbandry, assume that the midterm exam raw scores (i.e., the values of x) have a normal distribution, with a mean of 239 and a standard deviation of 37.6)

6) What percentage of exam scores are more than 1.5 standard deviations of distance away from the mean?

7) What proportion of students had an exam score between 180 and 250?

8) 20% of the students had an exam score that was higher than what value of x?

9) Which exam score corresponds to the 67th percentile?