The department of management science at Tech has sampled 250 of its majors and complied the following frequency distribution of grade point averages (on a 4.0 scale) for the previous semester:
GPA Frequency
0-0.5 1
.5-1 4
1-1.5 20
1.5-2 35
2-2.5 67
2.5-3 58
3-3.5 47
3.5-4 18
1)Please calculate the probability of a student obtaining GPA at each range listed in the table above. You should calculate 8 probabilities, one for each GPA range. Please show your detailed calculation.
2)What is the probability that a student’s GPA is higher than 1.5 (not include GPA = 1.5)?
3)What is the probability that a student’s GPA between 2.5 (not include 2.5) and 3.5 (include 3.5)?
