tutorial_09 - PROBABILITY STATISTICAL DESIGN IN ENGINEERING EEE2036S DEPARTMENT OF ELECTRICAL ENGINEERING UNIVERSITY OF CAPE TOWN TUTORIAL 9 17.09.2013

tutorial_09 - PROBABILITY STATISTICAL DESIGN IN ENGINEERING...

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PROBABILITY & STATISTICAL DESIGN IN ENGINEERING EEE2036S 1/3 DEPARTMENT OF ELECTRICAL ENGINEERING UNIVERSITY OF CAPE TOWN TUTORIAL 9 17.09.2013 Note : This tutorial is a synthetic selection of problems devoted to the extensive application of probability theory concepts/techniques to solving real-life tasks in various fields of interest. 1. Quiz Problem. Consider a quiz game where a person is given two questions and must decide which question to answer first. Question 1 will be answered correctly with probability 0 . 8, and the person will then receive as prize $100, while question 2 will be answered correctly with probability 0 . 5, and the person will then receive as prize $200. If the first question attempted is answered incorrectly, the quiz terminates, i.e., the person is not allowed to attempt the second question. If the first question is answered correctly, the person is allowed to attempt the second question. Which question should be answered first to maximize the expected value of the total prize money received? 2. Average Speed vs. Average Time. If the weather is good (which happens with probability 0.6), Alice walks the 2 miles to class at a speed of V = 5 miles per hour, and otherwise drives her motorcycle at a speed of V = 30 miles per hour. What is the mean of the time T to get to class?
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  • Fall '14
  • Dr.AlexandruMurgu
  • Probability, Probability theory, probability density function, Cape Town, probability theory concepts/techniques

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