Modelling 2 Week 3: Discrete Random Variables Stephen Bush Department of Mathematical Sciences MM2: Statistics - Week 3 - 1 Random Variables • Reference: Devore § 3.1 – 3.5 • Definitions: • An experiment is any process of obtaining one outcome where the outcome is uncertain. • A random variable is a numerical variable whose value can change from one replicate of the experiment to another. • Sample means and sample standard deviations are random variables • They are different from sample
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UNIVERSAL VIRTUAL CONTENT ACADEMY (UVC) CPA PAPER 5 Index numbers By the end of topic‚ participants should be able to; 1. Appreciate the usefulness of index numbers in monitoring changes over time 1. Calculate simple indices 2. Determine simple aggregate price indices 3. Use laspeyre’s and Paashe’s price indices to determine weighted indices. What is an index number? An index number is a statistical measure designed to show/ monitor changes over a period of time in the price‚ quantity
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STATISTICS AND THE DIFFERENT TYPES OF VARIABLES A. Classify the following statements as belonging to the area of descriptive statistics or inferential statistics. Write DS for descriptive statistics and write IS for inferential statistics on the space provided. 1. Yesterday’s record shows that three (3) employees were absent due to Dengue fever. _________ 2. Based from the present enrollment trend‚ it is expected that after 5 years‚ the number of BSPsych enrollee’s in CvSU will be
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Mathematical Puzzles These puzzles (most of them old classics) from various sources can be used with pupils who finish classwork early. Most of the questions were chosen with enthusiastic‚ bright early teenagers in mind. Some of the puzzles are also appropriate for class work - an initial worked example on the board will help a lot. There are a few trick questions. Some questions can be quickly answered if you chance upon the right approach‚ but the ’long’ solution isn’t too arduous. Several of
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administrative expenses were as follows: Total cost Rs. Beginning inventory: Direct materials Direct labour Variable factory overhead Fixed factory overhead Total Current period costs: Direct materials Direct labour Variable factory overhead Fixed factory overhead Total Selling and administrative expenses: Variable Fixed Total Instructions: 1. 2. 3. Prepare an income statement based on the variable costing concept. Prepare an income statement based on the absorption costing concept. Give the reason for
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THE THIRD-VARIABLE PROBLEM Correlational data are frequently misinterpreted‚ especially when presented by newspaper reporters‚ talk-show hosts‚ or television newscasters. The Most common problem in interpreting correlations is Third-Variable Problem. A correlation simply indicates that there is a weak‚ moderate‚ or strong relationship (either positive or negative)‚ or no relationship‚ between two variables. When interpreting a correlation‚ it is also important to remember that although the correlation
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I believe that if you think deeply into this question the answer is yes‚ history does repeat itself. But when you are just thinking of future events‚ an individual should not think that history repeats itself. According to Eric Rauch in his article‚ future events are not aware of events that have happened in the past. However‚ if you observe events that have taken place in the past‚ many reoccurring
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Cardinal numbers: Definition‚ Examples Cardinal numbers We know that‚ the relation in sets defined by A~ B is an equivalence relation. Hence by fundamental theorem on equivalence relation‚ all sets are partitioned into disjoint classes of equivalent sets. Thus for any set A‚ equivalence class of A‚ [A] = { B | B ~ A } Result: - (1) [A] = [B] or [A] ∩ [B] = ∅ ‚ that is for any two sets‚ either they have same equivalence classes or totally disjoint equivalence classes.
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Two-Variable Inequalities Kathleen Kent MAT 222 Week 2 Assignment Guillermo Alvarez September 22‚ 2014 Two-Variable Inequalities This week’s assignment will show how two-variable inequalities can be used in real-world scenarios by using independent and dependent variables. This week’s assignment will use graph representations and show how the two-variable inequalities can be incorporated into several problems to show how many of each item trucks can ship without going over
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WHAT IS A RANDOM VARIABLE? A random variable assigns a number to each outcome of a random circumstance‚ or‚ equivalently‚ a random variable assigns a number to each unit in a population. It is easier to create rules for broad classes of situations and then identify how a specific example fits into a class than it is to create rules for each specific example. We can employ this strategy quite effectively for working with a wide variety of situations Involving probability and random outcomes. We
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