-(2 points each) The grade range of students enrolled in statistics at a certain college is 40 to 98 percent. The mean is 81.5 percent with a standard deviation of 17. A sample of 30 students is taken from the population. a. Determine the probability that a randomly selected student has a grade less than 70%. b. Determine the probability that a randomly selected student has a grade greater than 80%. c. Determine the probability that a randomly selected student has a grade between 75% and 85%. d. Determine the probability that the sample mean grade is less than 70%? Determine the probability that the sample mean grade is greater than 80%. f. Determine the probability that the sample mean grade is between 75% and 85%. g. Determine median, first quartile, and the third quartile for the grade of a randomly selected student in the population. h. Determine median, first quartile, and the third quartile for the sample mean. Determine median, first quartile, and the third quartile for the sum of the grades for the sample. j. Determine the probability that the sum of the grades is no less than 2100? k. Determine the probability that the sum of the grades is at most 2200? 1. Determine the 90th percentile for a randomly selected student in this population. m. Determine the 90th percentile for the sample mean grade of 30 students. n. Determine the 90th percentile for the sum of the sample. o. Determine the value that is 1.5 standard deviations above the mean. p. Determine the value that is 1.5 standard deviations above the sample means. q. Determine the sum of the sample that is 1.5 standard deviation above median sum.