First Graders at an Elementary School Were Classified According to Whether

First graders at an elementary school were classified according to whether they were
the first born child in the family or not, and also whether both parents worked outside
the home. This resulted in the accompanying table. $$\begin{array} { | l | c | c | } \hline & \text { First Born } & \text { Older Siblings } \\\hline \text { Both work outside home } & 17 & 40 \\\hline \begin{array} { l } \text { At least one parent does not } \\\text { work outside home }\end{array} & 8 & 25 \\\hline\end{array}$$ Suppose that one of these students is selected at random. Define events A, B, and C as
follows:
A = the event that the selected student is a first born
B = the event that the selected student's parents both work outside the home
C = the event that the selected student has older siblings
For each pair of events in the following table, indicate whether the two events are disjoint
and/or independent by putting a Y or N in the appropriate cells. $$\begin{array}{l}\mathbf { Y } = \mathbf { Y e s } , \quad \mathbf { N } = \mathbf { N o }\\\begin{array} { | c | c | c | } \hline & \text { Disjoint } & \text { Independent } \\\hline \mathbf { A } , \mathbf { B } & & \\\hline \mathbf { B } , \mathbf { C } & & \\\hline \mathbf { A } , \mathbf { C } & & \\\hline\end{array}\end{array}$$