The Table Accompanying Lists the Joint Distribution of Unemployment in the United

Essay

The table accompanying lists the joint distribution of unemployment in the United States in 2001 by demographic characteristics (race and gender).
Joint Distribution of Unemployment by Demographic Characteristics,
United States, 2001 $$\begin{array} { | c | c | c | c | } \hline & \begin{array} { c } \text { White } \\( Y = 0 )\end{array} & \begin{array} { c } \text { Black and Other } \\( Y = 1 )\end{array} & \text { Total } \\\hline \begin{array} { c } \text { Age 16-19 } \\( X = 0 )\end{array} & 0.13 & 0.05 & 0.18 \\\hline \begin{array} { c } \text { Age 20 and above } \\( X = 1 )\end{array} & 0.60 & 0.22 & 0.82 \\\hline \text { Total } & 0.73 & 0.27 & 1.00 \\\hline\end{array}$$
(a)What is the percentage of unemployed white teenagers?
(b)Calculate the conditional distribution for the categories "white" and "black and other."
(c)Given your answer in the previous question, how do you reconcile this fact with the probability to be 60% of finding an unemployed adult white person, and only 22% for the category "black and other."