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\author{Teschl Gerald}
\title{Quiz 8}
\date{11 Sep. 1995}

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\hfill {\bf Name}: $\ul{\hspace*{5cm}}$\\[2mm]
\hspace*{2mm}\hfill {\bf ID \#}: $\ul{\hspace*{5cm}}$\\[5mm]

{\Huge Quiz 8} \hfill {\Large take-home- due 11/8/95}\\[5mm]

\noindent 1) A store has 5 TV-sets in stock. You want to buy two of them. List the
sample space for this experiment.~\hfill(2pts.)\\[2cm]

\noindent 2) In a sample space $S$ all outcomes are equally likely. Given the
Venn--diagram below:\\[2mm]
\fbox{
\begin{picture}(3.5,2)
\put(1,1){\circle{3}}
\put(2,1){\circle{3}}
\put(0,0.1){$S$}
\put(3,0.1){3}
\put(0.6,1.2){$E$}
\put(2,1.2){$F$}
\put(0.6,0.8){3}
\put(2,0.8){4}
\put(1.4,0.8){0}
\end{picture}}\\[3mm]
Are the events $E$ and $F$ independent?\\[2mm]
Are they mutually exclusive?~\hfill(3pts.)\\[.6cm]

\noindent 3) There are 5 textbooks and 2 novels on the top shelf of a bookcase, 4 novels
and  3 dictionaries on its bottom shelf. Assuming that it is equally likely to choose 
any book from this bookcase, find the probability that if one chooses 2 books,
the first is a novel and the second came from the top shelf.~\hfill(3pts.)\\[3cm]

\noindent 4) A stock experts estimates that there is a 5\% chance that the stock of 
corporation A drops in value. If the stock of corporation A drops then there is 30\%
chance that  corporation B drops in value. What is the probability that they both drop
in value?~\hfill(2pts.)


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