Homework Answers
A study of 500 college students was conducted to determine the number of freshman and Sophmore students who are taking math class in coming fall semester.
| Taking math in fall | Not Taking math in fall | Total | |
| Freshman | 130 | 110 | 240 |
| Sophmore | 135 | 125 | 260 |
| Total | 265 | 235 | 500 |
Probability table based on above information
| Probability | Taking math in fall | Not Taking math in fall | P(X) |
| Freshman | 0.26 | 0.22 | 0.48 |
| Sophmore | 0.27 | 0.25 | 0.52 |
| P(Y) | 0.53 | 0.47 | 1 |
(a) Probability that a randomly students is Sophmore given that
they are taking math in the fall is 
Answer D. 0.509
(b) Probability that a randomly students is Sophmore and is taking math in the fall is
Answer D. 0.270
(c) Probability that a randomly students is Sophmore or they are taking math in the fall is
Answer C. 0.780
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