M118 Week 1

M118 Week 1 - WELCOME TO M118! WELCOME TO M118! PUZZLE: 3...

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Unformatted text preview: WELCOME TO M118! WELCOME TO M118! PUZZLE: 3 men walk into a hotel, expecting to pay $30 for a room. They each give the clerk $10, who, upon receiving the money, informs the men that there is a special today, rooms are only $25. He begins to return the $5 to the men, but, upon realizing that he cannot easily split the $5 three ways, he gives each man back $1 and gives the remaining $2 to the bellboy. So, each man ended up paying $9, plus the $2 given to the bellboy, for a total of $27 + $2 = $29. WHAT HAPPENED TO THE OTHER DOLLAR?????????? While youre waiting YOUR FIRST ASSIGNMENT YOUR FIRST ASSIGNMENT! 1.) Log onto the M118 Oncourse Webpage via: http:// http:// www.iub.edu www.iub.edu 2.) Download and read the Class Syllabus. 3.) Download and read the Departmental Course Outline. 4.) Download and save the Powerpoint slides for Week 1. (located on the M118 RESOURCES Page M118 RESOURCES Page of Oncourse) 5.) Do the Welcome Set on the Webwork Homework System (located on the M118 TOOLS Page M118 TOOLS Page of Oncourse) 1 PROBABILITY PROBABILITY MODELS MODELS 3 What is a SET? DEFN: DEFN: A SET is a collection of things, called elements elements. 4 How do we describe sets? Method 1: List the elements S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} or S = {1, 3, 4, 2, 5, 7, 10, 8, 6, 9} 5 Method 1: List the elements S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} or S = {1, 3, 4, 2, 5, 7, 10, 8, 6, 9} NOTE: 3 S but 12 S read 3 is an element of S 6 How else do we describe sets? Method 2: Use a rule. S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} can be written as read the set of all things x such that x THE IMPORTANT PART!! S = {x : x is a positive integer less than 11} 7 S = { } = the empty set ( ) is the smallest set we will need to work with The largest set we will need to think about is.. DEFN: A Universal Set Universal Set is the largest set that needs to be considered for a given selection problem. 8 A selection problem: Suppose the members of AC/DC get tired of their name, so they decide to pick some new letters to be their new name. What is a reasonable Universal Set for this problem? 9 U = {a, b, c, , x, y, z} Hows about 10 SIX WAYS SIX WAYS to form new sets from other sets: 11 1.) form a SUBSET of elements from 1.) form a SUBSET of elements from a given set: a given set: DEFN: A set A is a subset subset of a set B if every element in A is also in B....
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M118 Week 1 - WELCOME TO M118! WELCOME TO M118! PUZZLE: 3...

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