Five hundred first year students at a state university were classified according to both their high school GPA and whether they were on academic probation at the end of their first semester. The data is given below: Less than 3.0 3.0 to less than 3.5 3.5 and above Total Academic Probation 50 55 30 135 No Academic Probation 45 135 185 365 Total 95 190 215 500 a) Given a student is on probation, what is the probability that they had a 3.5 or higher in high school? b) What is the probability that a randomly selected first-year student is not on probation or had a GPA less than 3.0? c) What is the probability that a randomly selected first-year is on academic probation and has less than a 3.5 and above GPA.
Five hundred first year students at a state university were classified according to both their high school GPA and whether they were on academic probation at the end of their first semester. The data is given below:
|
Less than 3.0 |
3.0 to less than 3.5 |
3.5 and above |
Total |
|
|
Academic Probation |
50 |
55 |
30 |
135 |
|
No Academic Probation |
45 |
135 |
185 |
365 |
|
Total |
95 |
190 |
215 |
500 |
a) Given a student is on probation, what is the
b) What is the probability that a randomly selected first-year student is not on probation or had a GPA less than 3.0?
c) What is the probability that a randomly selected first-year is on academic probation and has less than a 3.5 and above GPA.
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