Following Alfred Nobel's Will, There Are Five Nobel Prizes Awarded

Following Alfred Nobel's will, there are five Nobel Prizes awarded each year.These are
for outstanding achievements in Chemistry, Physics, Physiology or Medicine, Literature,
and Peace.In 1968, the Bank of Sweden added a prize in Economic Sciences in memory
of Alfred Nobel.You think of the data as describing a population, rather than a sample
from which you want to infer behavior of a larger population.The accompanying table
lists the joint probability distribution between recipients in economics and the other five
prizes, and the citizenship of the recipients, based on the 1969-2001 period. Joint Distribution of Nobel Prize Winners in Economics and Non-Economics Disciplines, and Citizenship, 1969-2001
$\begin{array}{|c|c|c|c|}\hline & \begin{array}{c}\text { U.S. Citizen } \\(Y=0)\end{array} & \begin{array}{c}\text { Non-U.S. Citizen } \\(Y=1)\end{array} & \text { Total } \\\hline \begin{array}{c}\text { Economics Nobel } \\\text { Prize }(X=0)\end{array} & 0.118 & 0.049 & 0.167 \\\hline \begin{array}{c}\text { Physics, Chemistry, } \\\text { Medicine, Literature, } \\\text { and Peace Nobel } \\\text { Prize }(X=1)\end{array} & 0.345 & 0.488 & 0.833 \\\hline \text { Total } &0.463 &0.537 &1.00 \\\hline\end{array}$
(a)Compute EY( )and interpret the resulting number.