Math – 213 Problem Set Solve each of the following problems. 1. A coin is tossed four times. What is the probability that at least 2 heads will occur? 2. A pair of dice is rolled. What is the probability that the sum is equal to the following? a. 5 b. 10 c. at most 9 d. at least 8 3. A chip is drawn at random from a jar containing 8 red‚ 2 blue‚ 3 green‚ 4 yellow‚ and 3 white chips. Determine the probability that it is: a. Red b. Yellow or red c. Not orange 4. In a graduating class of 300 students
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ECE 302 Problem Set 9 Fall 2013 The following problems have been selected from the course text. 4.78 In a large collection of wires‚ the length of a wire is X‚ an exponential random variable with mean 5π cm. Each wire is cut to make rings of diameter 1 cm. Find the probability mass function for the number of complete rings produced by each length of wire. 4.85 The exam grades in a certain class have a Gaussian pdf with mean m and standard deviation σ. Find the constants a and b so that
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Me1 Problem Set #2 The US College Enrollment and the “Third Law of Demand” A theorem proposed by Professors Alchian and Allen in their text‚ University Economics (1964) has had several rebirths of interest in the literature. The so-called “third law of demand‚” or “relative price theorem‚” holds that a fixed cost added to a good of varying quality causes the consumer to prefer the category considered of higher quality to the lower. Recently a number of studies‚ keeping this theorem in mind have
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Energy 1. A man climbs on to a wall that is 5 m high and gains 2200 J of potential energy. What is the mass of the man? Given: Formula: h = 5 m m = PE/gh PE = 2200 J Solution: m = 2200 J / (9.8 m/s2 x 5 m) m = 49 kg 2. Calculate the kinetic energy of a 500 kg car travelling at 50 m/s. Given: Formula: m = 500 kg KE = mv2/2 v = 50 m/s Solution: KE = 500 kg x (50 m/s)2 / 2 KE = 625 000 J Power 3. Riley climbs a flight of stairs in 3 minutes. If he
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GENERAL BIOCHEMISTRY Problem Set No. 1 Answered by: Andrea Rose A. Fajardo of BSFT 2-1N 1. Calculate the pH of a dilute solution that contains a molar ratio of potassium acetate to acetic acid (pKa=4.76) of: a. 2:1 pH = 4.76 + log[2]/[1] = 4.76 + 0.3010 = 5.06 b. 1:4 pH = 4.76 + log[1]/[4] = 4.76 + (-0.6021) = 4.16 c. 6:5 pH = 4.76 + log[6]/[5] = 4.76 + 0.0792
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1. EP Enterprises has the following income statement. How much net operating profit after taxes (NOPAT) does the firm have? Sales $1‚800.00 Costs 1‚400.00 Depreciation 250.00 EBIT $ 150.00 Interest expense 70.00 EBT $ 80.00 Taxes (40%) 32.00 Net income $ 48.00 a. $81.23 b. $85.50 c. $90.00 EBIT $150.00
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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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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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Risk Management Problem‚ Set I T Blount FIN/415 Brenda Papillon May 6‚ 2013 6-1. (Expected rate of return and risk) Carter Inc. is evaluating a security. One-year Treasury bills are currently paying 9.1 percent. Calculate the investment’s expected return and its standard deviation. Should Carter invest in the security? Probability Return .15 6% .30 9% .40 10% .15 15% Expected Rate of Return: (.15 x .06) + (.30 x .09) + (.40 x .1) + (.15 x .15)
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FBE 421 Prof. Briggs Problem Set #1 Please print out this document and clearly handwrite your answers to each of the questions below in the space provided. Show all your work accordingly. A. Calculate LTM (a) Revenue and (b) Net Income for Costco Wholesale (COST) using their latest financial statements as of 3Q2011. 77946+60737-53821=84‚862 MM Revenue 1303+984-871= 1‚416 MM Net-income B. Calculate Costco’s LTM (a) EBIT and (b) EBITDA. 2077+1677-1389=2‚365 MM EBIT (2077+795)+(1677+582)-(1389+549)=
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