At a particular university, students' grades in introductory statistic classes are generally unimodal and skewed to the left with a mean of

= 61 and a standard deviation of= 17.8. (Round your answers to four decimal places, if needed.)

(a) The distribution of students' grades isis (approximately normal/ exactly normal/may or may not be normal/ left-skewed/ right-skewed).

(b) Ifn= 37 students are selected at random, the distribution of the sample mean grade is(approximately normal/not normal/left-skewed/right-skewed)with a mean of?and a standard deviation of?.

(c) The probability that the sample mean grade for these 37 students is less than 66.0 is ?.

(d) Ifn= 37 students are selected at random, the distribution of the sample total grade is(approximately normal/ not normal/left-skewed/right-skewed)with a mean of?and a standard deviation of ?.

(e) The probability that the total grade for these 37 students is less than 2442.0 is?.