Researchers are investigating the physical development of children over time.
In the study, children are given a physical aptitude test at several stages in their development. Let be the event that the child passes the physical aptitude test.
Furthermore, let be the event that the child taking the test was a boy, and be the event that the child taking the test was a girl. The computer storing the data from this project experienced hard drive failure and only some of the data was recovered resulting in the partial database shown in the table.
Use your knowledge of probability theory to fill in the missing items in the table.
Data for Exercise
|
Year in
School
|
Pr(P)
|
Pr(B)
|
Pr(G)
|
Pr(PIB)
|
Pr(PIG)
|
Pr(BIP)
|
Pr(GIP)
|
|
2nd grade
|
|
0.45
|
|
0.25
|
0.30
|
|
|
|
4th grade
|
0.37
|
|
|
0.35
|
0.40
|
|
|
|
6th grade
|
|
|
|
0.50
|
0.50
|
0.52
|
|
|
8th grade
|
0.74
|
|
|
0.75
|
|
|
0.35
|