2. The joint distribution of \( P(X, Y) \) of X (number of cars) and Y (number of buses) per signal cycle at a traffic signal is given by; \begin{tabular}{|l|l|l|l|l|} \hline & \multicolumn{4}{|c|}{Y} \\ \hline \( P(X, Y) \) & & 0 & 1 & 2 \\ \hline \multirow{6}{*}{X} & 0 & 0.025 & 0.015 & 0.010 \\ \hline & 1 & 0.050 & 0.030 & 0.020 \\ \hline & 2 & 0.125 & 0.075 & 0.050 \\ \hline & 3 & 0.150 & 0.090 & 0.060 \\ \hline & 4 & 0.100 & 0.060 & 0.040 \\ \hline & 5 & 0.050 & 0.030 & 0.020 \\ \hline \end{tabular} a) Find \( P(X=Y) \) b) Find the marginal distribution of X and Y .
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