Biology 180 Problem Set 2 1. A population of marine gastropods has shell lengths that are normally distributed with a mean μ = 8 mm and variance σ2 = 2.15 mm2. a. what proportion of the population will have shell lengths between 6.5 mm and 8.5 mm? (3 points) b. what is the probability of finding a gastropod that has a shell length of exactly 7.5 mm? (1 point) c. if there are 1‚000 gastropods in an area‚ how many will have shell lengths greater than 5 mm? (3 points) 2. Childhood lead poisoning
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U(x‚y) = x11/2x21/2 L (x1‚x2‚λ) = x11/2x21/2 + λ (I – px1x1 – px2x2) ɗL/ɗx1 = (1/2)x1-1/2 x21/2 – λpx1 = 0 ɗL/ɗx2 = (1/2)x11/2 x2-1/2 –λpx2 = 0 ɗL/ɗλ = I – px1x1 – px2x2= 0 => px1/px2 = x2/x1 => x1 = (px2x2) / px1. Put this in the budget constraint: I = px1(px2x2) / px1 + px2x2 => x2* = I / 2px2 Using the same way to find the demand function of good 1‚ we obtain: x1* = I / 2px1 b) x1* = 24 / (2∙1) = 12 x2* = 24 / (2∙2) = 6 c) x1* = 24 / (2∙1) = 12 x2* = 24 / (2∙3) = 4 d) Substitution
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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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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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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 weighs 700 N and the stairs is 20 m from the ground‚ how much power will she develop
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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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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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32.00 Net income $ 48.00 a. $81.23 b. $85.50 c. $90.00 EBIT $150.00 d. $94.50 Tax Rate 40% e. $99.23 NOPAT=$90.0 2. Tibbs Inc. had the following data for the year ending 12/31/07: Net income = $300; Net operating profit after taxes (NOPAT) = $400; Total assets = $2‚500; Short-term investments = $200; Stockholders’ equity = $1‚800; Total debt = $700; and Total operating
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move the supply curve to the left. Answer No. 2 Full Employment: AD 2 1 100 180 AD 2 1 100 180 Economic boom : :1 AD1 2 1 80 200 AD2 140 AD1 2 1 80 200 AD2 140 Recession: P Y AD1 2 1 80 200 AD2 140 P Y AD1 2 1 80 200 AD2 140 Short Run and Long Run Aggregate Supply Curves Full Employment YP=140 P 2 1 LRAS YP=140 P 2 1 LRAS Economic boom 2 1 AS YP=140 2 1 AS YP=140 Recession: P Y 1
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Econ 214 Problem Set 4 1. What determines whether a financial asset is included in the M1 money supply? Why are interest-earning checkable deposits included in M1‚ whereas interest-earning savings accounts and Treasury bills are not? A financial assest is included in the M1 money supply when it can be quickly converted into the physical form of money‚ such as dollars and coins. Interested-earning checkable deposits are included because it can be quickly accessible without limitations
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