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Unformatted text preview: University of Missouri Department of Statistics Introduction to Mathematical Statistics : 4710/7710 Example Examination September 2005-09-24 Instructions: 1. Attempt all questions. 2. Show all workings: Points will not be awarded unless all workings are shown. Time: 60 min. Students may bring a letter sized sheet of notes and formulae, written on both sides of the page, into the examination for reference purposes. The notes should be neatly written in ink with student name and number clearly written at the top of the page. Scrappy notes may be confiscated. Question 1 An electrical control panel has three toggle switches labled I, II and III, each of which can be either on ( ), with probability 0.95, or off ( F ) due to a power excess, with probability 0.05. (a) Construct a tree diagram to represent the possible configurations for these three switches. (b) List the elements of the sample space generated by the tree. (c) List the sample points that constitute the events: A: at least on switch is on B : switch I is in C : no switch is on...
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- Fall '05