0607_IE5004 - NATIONAL UNIVERSITY OF SINGAPORE FACULTY OF...

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NATIONAL UNIVERSITY OF SINGAPORE FACULTY OF ENGINEERING EXAMINATION FOR (Semester I: 2006/2007) IE5004 – ENGINEERING PROBABILITY AND SIMULATION IE6004 – ADVANCED ENGINEERING PROBABILITY AND SIMULATION November 2006 - Time Allowed: 2 Hours INSTRUCTIONS TO CANDIDATES: 1. This paper contains FIVE (5) questions and comprises FOUR (4) pages. 2. Answer ALL questions. 3. This is an OPEN BOOK examination.
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2 IE5004/IE6004 ______________________________________________________________________________________ Question 1. (30 marks) In a company, there are two suppliers for a type of component that makes a certain product. Based on past data, the weight of component from both suppliers is approximately normally distributed with a mean of 50.0. It is also known that for Supplier A, the standard deviation of the weight is 0.5 while for Supplier B, it is 1.0. Answer the following questions. State all your assumptions and show the details. (a) What is the probability that a component has a weight less than 50.5 given that it is from Supplier A? What is this probability if the item is from Supplier B? (8 marks)
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0607_IE5004 - NATIONAL UNIVERSITY OF SINGAPORE FACULTY OF...

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