304_Hw4_Continuous_RVs - CEE 304 Uncertainty Analysis in...

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CEE 304  -  Uncertainty Analysis in Engineering Homework #4 Due:   Monday, September 17, 2007 Read:   Sections of text 4.1-4.4, and attached  handout  on 1-to-1 transformations.  Goal:   Continuous random variables are common and useful in engineering.  This  homework tests your understanding of the probability concepts and mechanics  associated with continuous random variables, and addresses two IMPORTANT  examples (normal + gamma distributions). It uses those concepts to do useful  analyses (i.e. problems 21, 23, plus Q1).  We will see the issues in problems 59 &  116 again soon.   Q1 is the challenging problem this week. Students often think instructors only want them to learn how to solve numerical  problems:  most homework assignments & tests consist of numerical problems.  It is  also important that students understand the methods and ideas so that they know  when they can use them and can justify what they did in a professional situation. Can  you justify to your boss or client what you did? If not, what good is your analysis?  See problem  Q2. The  ActivStats  assignment addresses scatterplots and correlation.  The basic issue is  to understand the joint distribution of two or more random variables.  This will be the  focus of the course next week.  ActivStats  is good on this topic.
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