SIDS31081 - Statistics Refresher 2006 – 2007 Exercises (Probability and Random Variables) Exercise 1 Suppose that we have a sample space with five equally likely experimental outcomes : E1‚E2‚E3‚E4‚E5. Let A = {E1‚E2} B = {E3‚E4} C = {E2‚E3‚E5} a. Find P(A)‚ P(B)‚ P(C). b. Find P(A U B) . Are A and B mutually exclusive? c. Find Ac‚ Bc‚ P(Ac)‚ P(Bc). d. Find A U Bc and P(A U Bc) e. Find P(B U C) Exercise 2 A committee with two members is to be selected from a collection of 30
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Thiss thesis contains work on reinforced random walks‚ the reconstruction of random sceneriess observed along a random walk path‚ and the length of a longest increasing subsequencee in a random permutation. In this introduction‚ I will survey some of the work inn the area and describe my results. Furthermore I will explain how all three subjects fit intoo the framework of random walks in stochastic surroundings. Section 1 is dedicated to reinforcedd random walks. Section 2 describes scenery reconstruction
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Global Variables This writing assignment will focus on global variables. A global variable is a variable every module in a program can see‚ meaning that the entire program is its scope (Gaddis‚ 2010). There are both advantages and disadvantages to using global variables and it is my intention to explore some of them here‚ starting with the disadvantages. There seems to be a lot to be said about the disadvantages of using global variables. First and foremost the scope itself can be a disadvantage
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have asked me to recommend three quantitative objects that ought to be tracked about every client that calls and/or their conduct about snack foods and specify whether the variables are continuous or discrete. We will begin by discussing what quantitative data/research is‚ define discrete variables‚ define continuous variables‚ and I will provide my three recommendations. (CTU Online 2014) II. Quantitative Data/Research Quantitative research is conducted utilizing sampling approaches (such as customer
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(from Chapter 3) True and False (bold your answer) 1.) Modules make it easier for programmers to work in teams True 2.) Calling a module and defining a module mean the same thing. True 3.) A statement on one module can access a local variable in another module. False 4.) Programming languages typically require that arguments be of the same data type as the parameters that they are passed to. True 5.) When an argument is passed by reference‚ the module can modify the
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Part I - Multiple Choice 1. Suppose that the scatterplot of (log x‚ log y) shows a strong positive correlation Which of the following must be true? I. The variables x and y also have a correlation close to 1. II. A scatterplot of (x‚ y) shows a strong nonlinear pattern. III. The residual plot of the variables x and y shows a random pattern. (a) I only (b) II only (c) III only (d) I and II (e) I‚ II‚ and III 2. What is the purpose of residual plots? (a) To determine causation
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data set TVHOURS.MTW in the Student14 folder. a) Prepare a pie chart for the variable “Educ.” Comment on the results. b) Prepare a segmented bar chart to examine “Educ” by “Gender.” Comment on the results. c) Prepare a histogram for the variable “HrsTV.” Comment on the shape of the distribution. d) Show descriptive statistics on the variable “HrsNews” for all age groups. Use the optional “By Variables” box; enter “AgeGrp” in the box. Comment on the results. Make sure to compare
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Types of Sampling In applications: Probability Sampling: Simple Random Sampling‚ Stratified Random Sampling‚ Multi-Stage Sampling * What is each and how is it done? * How do we decide which to use? * How do we analyze the results differently depending on the type of sampling? Non-probability Sampling: Why don’t we use non-probability sampling schemes? Two reasons: * We can’t use the mathematics of probability to analyze the results. * In general‚ we can’t count on a non-probability
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Latasha Thomas January 20‚ 2013 HSM 260 Jerome Anderson Exercise 10.1 Recompute fixed costs‚ variable costs‚ and the BEP. What are the variable costs? What are the fixed costs? How many meals will the WHDM program need to provide during the fiscal year to reach the BEP? How much profit will the program earn if it completes its 45‚000-meal contract with the City of Westchester? The variable cost of service is $3.93 during the fiscal year the WHDM should provide 1‚011 meals to reach their
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Whatever McDonalds makes whether its 100 or 10‚000 products‚ these cost must be paid. Variable cost – these are costs that change depending on McDonalds output. So if McDonalds makes a burger it will have varying requirements for amounts of bread‚ meat‚ fish‚ cheese and lettuce head will depend on how many burgers the make. Break –even point Businesses can use the calculations that they make of fixed costs‚ variable costs and sales to work out the point at which their costs equal their sales. This
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