Numerade

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Let Y be the rate (calls per hour) at which calls arrive at a switchboard. Let X be the number of calls during a two-hour period. Suppose that the marginal p.d.f. of Y is f2(y) = { e−y if y > 0, 0 otherwise, and that the conditional p.f. of X given Y = y is g1(x|y) = ⎧ ⎨ ⎩ (2y)x x! e−2y if x = 0, 1, . . . , 0 otherwise. a. Find the marginal p.f. of X. (You may use the formula∫ ∞ 0 y k e−y dy = k!.) b. Find the conditional p.d.f. g2(y|0) of Y given X = 0. c. Find the conditional p.d.f. g2(y|1) of Y given X = 1. d. For what values of y is g2(y|1) > g2(y|0)? Does this agree with the intuition that the more calls you see, the higher you should think the rate is?

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Exam Content Page 13 of 40 Question 13 1 Point If a negative charge is placed inside a hollow isolated conductor that is originally neutral and the charge does not touch that conductor at any time: A the inside surface of the conductor will become positively charged B the outside surface of the conductor will become positively charged C both the inner and outer surfaces will become negative D both the inner and outer surfaces will remain neutral

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Derive her demand for perfume. Your answer should be an equation that gives P as a function of P P , P L , and I. Determine this by using calculus and maximizing the objective function, do not use the tangency condition

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SOC-372-O500 Topic 2 Benchmark – The Profession of Social Work from Past GCU

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21. McGraw Inc. has declared a $3.00 dividend per share. Suppose capital gains are not taxed, but dividends are taxed 10%. New IRS regulations require that taxes be withheld when the dividend is paid. The company's stock sells for $30 per share and is about to go ex- dividend. What should the ex-dividend share price be? a) $27.30 b) $33.00 c) 32.70 d) $27.00

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A) Find two pairs of relatively prime positive integers (a, c) such that a^2+5929=c^2. Can you find additional pairs with gcd(a, c)>1? b. Which of the numbers 4370, 1885, 3185 can be a hypotenuse in a primitive Pythagorean triple? Explain. When possible, find such a triple.

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Kelsay Corporation has provided the following contribution format income statement. Assume that the following information is within the relevant range. Sales (9,000 units) $ 540,000 Variable expenses 405,000 Contribution margin 135,000 Fixed expenses 130,500 Net operating income $ 4,500 The contribution margin ratio is closest to:

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Which of the following would cause a cell to arrest the cell-cycle? incorrect attachment of mitotic spindles to replicated chromosomes damage to DNA incomplete DNA replication All of the other answers are correct. unfavorable environment (e.g., not enough food)

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Which language showed ambiguity? For full credit, give a plausible, ambiguous string in that language for your rationale. A. C B. ML C. Java D. Python Rationale: Reset Selection

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The following results were generated for adsorption of chemical X onto a novel adsorbent. a) Assuming the data are best characterized by the Langmuir adsorption model, determine $K_{ads}$ (L/mmol) and $q_{max}$ (µmol/m²) b) Assuming the data are best characterized by the Freundlich adsorption model, determine $K_f$ ($rac{µmol/m²}{mmol/L}$) and n (where $q = K_f (X)^n$) c) Using the Langmuir and Freundlich isotherms models you derived in parts a) and b) estimate the adsorption density (q in µmol/m²) (for each model) when the equilibrium dissolved concentration for chemical X is 20 mmol/L. (X)$_{diss,eq}$ (mmol/L) $q_x$ (µmol/m²) 0.00 0.00 0.72 7.95 0.99 6.22 1.25 13.12 1.45 15.44 1.65 13.54 1.93 10.89 3.45 15.57 3.55 18.17 3.54 18.07 6.23 23.69 6.75 23.38 6.66 27.01

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michelle g.