Problem Set 3 ECON 973 Fall 2012 Fluctuations: Discrete Time Models Ben Brewer 12/10/12 1. a. Given this two-period problem of labor supply maxc1 ‚n1 ‚c2 ‚n2 ln[c1 ] + ln[1 − n1 ] + βln[c2 ] + βln[1 − n2 ] subject to the intertemporal budget constraint c1 [1 + r] + c2 = w1 n1 [1 + r] + w2 n2 Dividing each side by [1+r] for convenience gives c1 + c2 w 2 n2 = w 1 n1 + 1+r 1+r We can solve for consumption and labor supply in each period (c1 ‚ c2 ‚ n1 ‚ n2 ) by first setting up the Lagrangian
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universally. The scale is chosen depending on the information that the data is intending to represent. The four scales of measurement of data are nominal‚ ordinal‚ interval‚ and ratio. Each plays a different‚ yet very important role in the world of statistic a) Nominal scale Is the lowest level in scales of measurement? Is a way of grouping behavior‚ where actual numbers are simply labels or identifiers. -they do not put subjects in any particular order: no logical basis for the answers in each
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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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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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FINA 5210 Problem Set 1 (Group 305) Problem 1 (a) WpC=[E(rp)-rf] ÷Aσp2 =6%÷2.5×(20%)2 =60% WfC=100% - 60% = 40% (b) Expected return of Complete portfolio is: rCEc= WpC×E(rp)+ WfC×rf =60%×10% + 40%×4% =7.6% The standard deviation of Complete portfolio is: σc = WpC × σp = 60% × 20% = 12% Certainty-equivalent rate of return for investing in C: rc CE= Uc = rCEc- 1/2Aσc2 = 7.6% - 0.5×2.5×12%2 = 5.8% Certainty-equivalent rate of return for investing in P: rp CE= Up= rCEp- 1/2Aσp2
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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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Kenneth Smith 12/19/13 NT 1230 Unit 1 Problem Set 1 Page 25 1. The general public in the United States will be able to purchase all of the Windows 7 editions in retail stores except Basic‚ Enterprise‚ and Starter. 2. The core module that provides all of the Windows 7 capabilities that isn’t language or edition-specific is called Min Win module. 3. When you copy a file to a library‚ Windows Explorer writes the file to the folder designated as the Open and Save as
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