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\title{Stat 185 - In class problems \\
\large Monday, October 2}
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\begin{enumerate}
	\item I've got a fair, 10 sided die with 
	\begin{itemize}
		\item 4 sides labeled 1,
		\item 2 sides labeled 3,
		\item 3 sides labeled 5, and
		\item 1 side labeled 6
	\end{itemize}
	For this die,
	\begin{enumerate}
		\item Write down the corresponding probability distribution,
		\item Compute the expectation associated with one roll, and
		\item Compute the standard deviation associated with one roll.
	\end{enumerate}
	
	\item The cost of a Fast \$500 lottery ticket in the NC ``Educational'' lottery is \$5 and the payouts are as follows: \\
	
        \begin{tabular}{l|c|c|c|c|c|c|c|c}
        	payout & \$150000 & \$500 & \$100 & \$40 & \$25 & \$20 & \$ 10 & \$5 \\
		\hline
            	Odds: (1/in) & 1560000 & 779.22 & 400 & 131.58 & 303.8 & 30 & 12 & 8.57
        \end{tabular}
        
        What is the expected value of a ticket? \\
        Don't forget to include the cost of the ticket!
	
	\item Approximately 22\% of adult North carolinians smoke. Given a random sample of 10 adult North Carolinians, what is the probability that
	exactly 2 or 3 of them smoke?
\end{enumerate}




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