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Name:\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\

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SS\#:\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\

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\huge{Test 1}

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{\bf Instructions}: Answer all seven problems, each one on a separate answer sheet. Put the number
of the problem you are doing at the top of the answer sheet.\\
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All problems are worth the same amount.\\
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1. A group of students are polled regarding the number of tacos they\\
\ \ \ \ consumed last month. Their responses were: 4, 15, 3, 0, 6, 9, 5.\\
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\ \ \ \ (a) Find the sample mean.\\
\ \ \ \ (b) Find the sample variance.\\
\ \ \ \ (c) Find the sample standard deviation.\\
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2. Martin is playing {\em Dungeons and Dragons} with some of his friends. He is\\
\ \ \ \ using two dice, both of which are fair, but one has 7 sides and the other\\
\ \ \ \ has 4.  He must roll a number greater than 9 to defeat a troll.  What\\
\ \ \ \ is the probability that he suceeds?\\
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\ \ \ \ {\em Bonus}: What is the probability that Martin has no life?\\
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3. Fill in all 8 regions in the Venn diagram, given the following information:\\
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\ \ \ \ $P(ABC)=.1$\\
\ \ \ \ $P(BC) =.2$\\
\ \ \ \ $P(\overline{A}C)=.3$\\
\ \ \ \ $P(AC)=.15$\\
\ \ \ \ $P(AB)=.2$\\
\ \ \ \ $P(A\cup C)=.6$\\
\ \ \ \ $P(B)=.6$\\
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