        \problemdata       % Takes 5 *mandatory* arguments
        {variance-6}             % latex-friendly label for the prob.
        {variance}               % The topic of the problem content.
        {Velleman}               % Source (if known)
        {S98 PS11-7; F97 PS11-8} % Usage (list ones you are aware of).
        {Theory Pig, S02}        % Last revision info (author, date).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%pset11 problem7 spring98; from fall 97 pset11 problem8
\begin{problem}


Recall than in the Chinese Appetizer Problem $R$ is number of people that
get the same appetizer after a spin of the Lazy Susan.

\begin{problemparts}

\problempart
Compute the variance of $R$.

\problempart
Show that the upper bound that you get on $\Pr(R \geq N)$ from the strong form
of Chebyshev's inequality is tight.

\end{problemparts}
\end{problem}
