TH4B - solutions

# TH4B - solutions - TAKE-HOME ASSIGNMENT 4B NAME Answer key...

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Using the same procedure, what would be the probability of rolling a 3 every time you rolled the dice for 9 rolls? (HINT: Each dice has 6 sides) Show ALL your steps. ( 3 points) R = 3 P(R) = 1/6 = 0.167 P(3) = P(R 1 and R 2 and R 3 and R 4 …..R 9 ) = P(R 1 ) * ( R 2 ) * ( R 3 ) … ( R 9 ) = (0.167) (0.167) (0.167) …(0.167) = (0.167) 9 = 0.000000099 In scientific notation this is 9.9 x 10 -8 You would have to be EXTREMELY LUCKY to roll 3s nine times in a row! NOW IT’S YOUR TURN ! Using question 4-5-20, p.192 and what you have learned about complements to determine the probability that the combined samples from six pools will reveal the presence of E. coli bacteria. To do this you have to rephrase the question to state the probability that at least one sample will contain E. coli . (2 points) HINT 1: A 2% chance of finding E.coli equals a 98% chance of NOT finding E.coli . HINT 2:
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## This note was uploaded on 04/14/2009 for the course STAT stat 200 taught by Professor Mosekim during the Spring '09 term at University of Wisconsin.

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TH4B - solutions - TAKE-HOME ASSIGNMENT 4B NAME Answer key...

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