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\title{Stat 185 - In class problems \\
\large Monday, October 16}
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\begin{enumerate}
	\item I take my 8 year old daughter Audrey trick or treating in the dorms every year. She's observed that, on average, each room
	gives her 3.2 mini candy bars with a standard deviation of 1.3.
	\begin{enumerate}
		\item Using this information, can Audrey estimate the probability that the first room she visits will give her at least 4 mini candy bars?
		\item Using this information, can Audrey estimate the probability that the first 5 rooms she visits gives her a total of
		at least 18 mini candy bars?
		\item Using this information, can Audrey estimate the probability that all 35 rooms she visits gives her a total of
		at least 18 mini candy bars?
		\item Compute any of the estimates that you can.
	\end{enumerate}
	
	\item As a struggling college professor, I work odd jobs every weekend. On average, I can make \$237 a weekend, with a standard 
	deviation of \$42. I do this almost every weekend, taking only two weekends off per year.
	\begin{enumerate}
		\item How much extra money can I expect to make like this over the course of two years?
		\item What's the probability that I make more than \$25000 over the course of two years?
		\item How much might I make on a really good weekend - let's say top 10\%?
	\end{enumerate}
	
	\item In a random sample of 327 North Carolinians, I find that 115 of them exercise regularly. 
	\begin{enumerate}
		\item What is the standard error associated with this measurement?
		\item Write down a 95\% confidence interval for the proportion of North Carolinians who exercise regularly based on this data.
	\end{enumerate}
\end{enumerate}




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