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

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

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\huge{Test 2}

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{\bf Instructions}: Answer all six problems, two on each answer sheet. Put the number
of the problems you are doing at the top of the answer sheet.\\
\ \\
All problems are worth the same amount.\\
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1. 40\% of all Americans prefer to fix their eggs scrambled. 8 Americans\\
\ \ \ \ are selected at random.\\
\ \\
\ \ \ \ (a) What is the probability that at most two prefer their eggs scrambled?\\
\ \ \ \ (b) What is the expected nmber of people who want their eggs\\
\ \ \ \ \ \ \ \ \ \ scrambled?\\
\ \\
2. Assuming the graphs below correspond to the standard normal\\
\ \ \ \ distribution $Z$, find the values z.\\
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3. The distance students can throw their statistics textbook is normally\\
\ \ \ \ distributed with mean 30', and standard deviation 5'.\\
\ \\
\ \ \ \ (a) What is the probability that a random person throws their book a\\
\ \ \ \ \ \ \ \ \ \  distance between 25' and 33.5'?\\
\ \ \ \ (b) What is the probability that they throw it over 42'?
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