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The following table shows the number of students in three different degree programs and whether they are graduate or undergraduate students:
| Undergraduate | Graduate | Total |
Business | 150 | 50 | 200 |
Engineering | 150 | 25 | 175 |
Arts&Sciences | 100 | 25 | 125 |
Total | 400 | 100 | 500 |
a. Calculate the overinvolment ratio (use 2 digits after decimal point) to measure effect of being undergraduate student on majoring in Engineering.
b. What is the probability of selecting a graduate student, given that this student is studing engineering?(use 2 digits after decimal point)
c. If we randomly select 4 students (with replacement) who are studing engineering, what is the probability that none of them are undergraduate?(use 5 digits after decimal point)
d. If we randomly select 2 students (without replacement) who are studing engineering, what is the probability that none of them are undergraduate?(use 4 digits after decimal point)
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