To find the probability that a randomly chosen student has a GPA between 3.00 - 3.49 or between 3.50 - 4.00, we first need to determine the total number of students and then find the number of students within each requested GPA range.
- Calculate the total number of students:
- 1.00 - 1.49: 5 students
- 1.50 - 1.99: 13 students
- 2.00 - 2.49: 20 students
- 2.50 - 2.99: 27 students
- 3.00 - 3.49: 25 students
- 3.50 - 4.00: 7 students
Total number of students = 5 + 13 + 20 + 27 + 25 + 7 = 97
- Find the number of students with GPAs in the specified ranges:
- Students with GPA between 3.00 - 3.49: 25
- Students with GPA between 3.50 - 4.00: 7
Total number of students with GPA between 3.00 - 3.49 or 3.50 - 4.00 = 25 + 7 = 32
- Calculate the probability:
The probability \( P \) that a randomly chosen student has a GPA between 3.00 - 3.49 or 3.50 - 4.00 is given by:
\[ P = \frac{\text{Number of students in the specified GPA ranges}}{\text{Total number of students}} = \frac{32}{97} \]
Therefore, the probability is:
\[ P \approx 0.329 (or \approx 32.9%) \]