Let's examine the given two-way table and identify the joint frequencies for each category of flights going either east or west for both Skyways and Yellow Jet airlines.
The table looks like this:
[tex]\[
\begin{array}{|c|c|c|c|}
\hline & \text{East} & \text{West} & \text{Total} \\
\hline \text{Skyways} & 30 & 33 & 63 \\
\hline \text{Yellow Jet} & 35 & 34 & 69 \\
\hline \text{Total} & 65 & 67 & 132 \\
\hline
\end{array}
\][/tex]
We need to determine which of the joint frequencies (i.e., the combinations of airline and direction) has the highest number of flights.
The joint frequencies given in the table are:
1. Skyways going east: 30
2. Skyways going west: 33
3. Yellow Jet going east: 35
4. Yellow Jet going west: 34
To find which of these joint frequencies has the most flights, we compare the numbers:
- Skyways going east: 30
- Skyways going west: 33
- Yellow Jet going east: 35
- Yellow Jet going west: 34
From these comparisons, we see that the highest joint frequency is Yellow Jet going east with 35 flights.
Thus, the joint frequency with the most flights is:
Yellow Jet, going east
