Organization of Terms Experimental Design Descriptive Inferential Population Parameter Sample Random Bias Statistic Types of Variables Graphs Measurement scales Nominal Ordinal Interval Ratio Qualitative Quantitative Independent Dependent Bar Graph Histogram Box plot Scatterplot Measures of Center Spread Shape Mean Median Mode Range Variance Standard deviation Skewness Kurtosis Tests of Association Inference Correlation Regression Slope y-intercept
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MIT Sloan Finance Problems and Solutions Collection Finance Theory I Part 1 Andrew W. Lo and Jiang Wang Fall 2008 (For Course Use Only. All Rights Reserved.) Acknowledgements The problems in this collection are drawn from problem sets and exams used in Finance Theory I at Sloan over the years. They are created by many instructors of the course‚ including (but not limited to) Utpal Bhattacharya‚ Leonid Kogan‚ Gustavo Manso‚ Stew Myers‚ Anna Pavlova‚ Dimitri Vayanos and Jiang Wang. Contents 1
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Date _________________________ Multiplication Rule of Probability - Independent Practice Worksheet Complete all the problems. 1. Holly is going to draw two cards from a standard deck without replacement. What is the probability that the first card is a king and the second card is an ace? 2. Thomas has a box with 4 black color bottles and 8 gray color bottles. Two bottles are drawn without replacement from the box. What is the probability that both of the bottles are gray? 3. A jar contains
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Chapter 9‚ Problem 17 Jack Hammer invests in a stock that will pay dividends of $2.00 at the end of the first year; $2.20 at the end of the second year; and $2.40 at the end of the third year. Also‚ he believes that at the end of the third year he will be able to sell the stock for $33. What is the present value of all future benefits if a discount rate of 11 percent is applied? (Round all values to two places to the right of the decimal point.) Present value of a single amount PV = FV x PVIF
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PROBABILITY and MENDELIAN GENETICS LAB Hypothesis: If we toss the coin(s) for many times‚ then we will have more chances to reach the prediction that we expect based on the principle of probability. Results: As for part 1: probability of the occurrence of a single event‚ the deviation of heads and tails of 20 tosses is zero‚ which means that the possibility of heads and tails is ten to ten‚ which means equally chances. The deviation of heads and tails of 30 tosses is 4‚ which means that the
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Spearman’s Rho 4 Probability 4 Binomial Distribution 4 Assumptions: 5 Subjective Probability 5 Normal Distribution 5 Standard Normal Distribution 5 Sampling Distribution 5 Standard Error of Statistic 5 Central Limit Theorem 5 Area under the Sampling Distribution of the Mean 6 Sampling Distribution‚ Difference between Independent means 6 Sampling Distribution of a Linear Combination of Means 6 Sampling Distribution of Pearson’s R 7 Sampling Distribution of Difference between
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is the probability that both outcomes are heads? Explain. Ans. P(H) = 1/2 Probability of 2 heads = 1/2 x 1/2 = 1/4 Q.2 Suppose that 25% of the population in a given area is exposed to a television commercial on Ford automobiles‚ and 34% is exposed to Ford’s radio advertisements. Also‚ it is known that 10 % of the population is exposed to both means of advertising. If a person is randomly chose out of the entire population on this area‚ what is the probability that he
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Econ 302 Name:_____________________ Fall 2014 Problem Set 1 (Thursday September 18‚ 2014 In class – no extensions) Please Print and Answer in the Provided Space 1) Consider the following estimates for an iPad sold in Canada in 2010: retail price $550 (say at Best Buy)‚ Apple (a U.S. corporation) wholesale price $475‚ Apple intermediate costs $385. Of Apple’s intermediate costs‚ $100 was wholly produced by U.S. manufacturers‚ and $285 from other foreign producers. Suppose the production chain was
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Mathematical Systems Probability Solutions by Bracket A First Course in Probability Chapter 4—Problems 4. Five men and 5 women are ranked according to their scores on an examination. Assume that no two scores are alike and all 10! possible rankings are equally likely. Let X denote the highest ranking achieved by a woman (for instance‚ X = 1 if the top-ranked person is female). Find P X = i ‚ i = 1‚ 2‚ 3‚ . . . ‚ 8‚ 9‚ 10. Let Ei be the event that the the ith scorer is female. Then the
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Basics of Statistics Jarkko Isotalo 30 20 10 Std. Dev = 486.32 Mean = 3553.8 N = 120.00 0 2400.0 2800.0 2600.0 3200.0 3000.0 3600.0 3400.0 4000.0 3800.0 4400.0 4200.0 4800.0 4600.0 5000.0 Birthweights of children during years 1965-69 Time to Accelerate from 0 to 60 mph (sec) 30 20 10 0 0 Horsepower 100 200 300 1 Preface These lecture notes have been used at Basics of Statistics course held in University
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