Extra Problem 10 - Theoretical Probability Models - Solution Key

# Extra Problem 10 - Theoretical Probability Models - Solution Key

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EMSE 269 - Elements of Problem Solving and Decision Making Dr. J.R. van Dorp 1 of 6 EXTRA PROBLEM 10: THEORETICAL PROBABILITY MODELS In bottle production, bubbles that appear in the glass are considered defects. Any bottle that has is classified as and is more than two bubbles "nonconforming" sent to recycling. Suppose that the number of bubbles in a bottle is Poisson distributed 1.1 bubbles per bottle with an average of . Bubbles occur independently from one another. In answering the questions below use the attached probability tables. A. What is the probability that a randomly chosen bottle is nonconforming? Define the random variable such that: \ \ ´ R?7,/< 90 ,?,,6/=38+,9>>6/ Then from the text we have: T<Ð\ œ5Ñœ / 5 œ!ß"ß#ßáß 7œ"Þ" 7 5x 7 5 , where

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EMSE 269 - Elements of Problem Solving and Decision Making Dr. J.R. van Dorp 2 of 6 Hence, T<ÐV+8.97,9>>6/3= 898 -9809<7381Ñ œ T<Ð\  #Ñ œ - "T<Ð\Ÿ#Ñœ"!Þ*! œ!Þ"! (See, Table Page 702) B. Bottles are packed in cases of 12. An inspector chooses one bottle from each case. If it is nonconforming, she inspects the entire case, replacing
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## This note was uploaded on 12/04/2011 for the course BUSINESS 500 taught by Professor John during the Spring '11 term at Kansas.

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Extra Problem 10 - Theoretical Probability Models - Solution Key

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