Students in Two Classes of Upper-Level Mathematics Were Classified According

Essay

Students in two classes of upper-level mathematics were classified according to class
standing and gender, resulting in the following table. $$\begin{array}{l}\text { Distribution of students: Advanced math }\\\begin{array} { | l | c | c | } \hline & \mathbf { J r } & \mathbf { S r } \\\hline \text { Males } & 45 & 30 \\\hline \text { Females } & 30 & 20 \\\hline\end{array}\end{array}$$ One of these students will be selected at random. Define events A,
B, and C as follows:
A = the event that the selected student is a female
B = the event that the selected student is a male
C = the event that the selected student is a senior.
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 each of the cells. $$\begin{array}{l}\mathbf { Y } = \mathbf { Y e s } , \quad \mathbf { N } = \mathbf { N o }\\\begin{array} { | c | c | c | } \hline & \text { Disjoint } & \text { Independent } \\\hline \mathbf { A } , \mathbf { B } & & \\\hline \mathbf { B } , \mathbf { C } & & \\\hline \mathbf { A } , \mathbf { C } & & \\\hline\end{array}\end{array}$$