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Suppose that public opinion in a large city is 35 percent against increasing taxes to support the public school system. If a random sample of 500 people from this city are interviewed, what is the approximate probability that more than 200 of these people will be against increasing taxes? Which of the following set-ups would answer the question? $P(Z > \frac{0.40 - 0.65}{\sqrt{\frac{(0.65)(0.35)}{500}}})$ $P(Z > \frac{0.40 - 0.35}{\sqrt{\frac{(0.35)(0.65)}{500}}})$ $\binom{500}{200}(0.35)^{200}(0.65)^{300}$ $P(Z > \frac{0.40 - 0.35}{\sqrt{\frac{(0.40)(0.60)}{500}}})$ $\binom{500}{200}(0.65)^{200}(0.35)^{300}$

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Creating a policy the forces a steel manufacturer to bear the private and social cost of the sulfur dioxide it emits is a policy that causes the firm to A internalize the externality B externalize the externality C ignore the externality D free ride on the government

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In an efficient market, do consumer surplus and producer surplus have to be equal at equilibrium?

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Let x , y , z be non-zero vectors in R3 and let r be a non-zero real number. Select all expressions below that are well defined.

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(1 point) Consider the mass-spring system for mass 0.3 kg, spring constant 8.3 N/m, and an oscillating force 2.5 cos(\omega t) Newtons. That is, $0.3x'' + 8.3x = 2.5 \cos(\omega t)$. What positive angular frequency \omega leads to resonance? $\omega = 5.26$ help (numbers) What is the resonance part of the solution (without the complementary solution): $y_p = $ help (formulas)

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1. Find the transfer functions $Y(s)/D(s)$ for the following block diagram. G2 X2 X(s) + + + Y(s) G1 G3 G4 + Y1 X3 X4 + G5 X5 D(s) Solution You should obtain the following results: $\left(\frac{Y}{D}\right)_{D=0} = \frac{G_1(G_2 + G_3(G_5 - G_4))}{1 - G_1(G_2 + G_3(G_5 - G_4))} = \frac{G_1G_2 - G_1G_3G_4 + G_1G_3G_5}{1 - G_1G_2 + G_1G_3G_4 - G_1G_3G_5}$ $\left(\frac{Y}{D}\right)_{X=0} = \frac{-G_5}{1 - G_1(G_2 + G_3(G_5 - G_4))} = \frac{-G_5}{1 - G_1G_2 + G_1G_3G_4 - G_1G_3G_5}$

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Let the random variable X have the following pdf: $f(x) = 3(1 - x)^2$ where $0 < x < 1$. Suppose $Y = (2 - 2X)^3$. Find $g(y)$, the pdf of Y. Also, give the support of $g(y)$. g(y) = 1/6, support is $0 < y < 6$ None of these answers are correct. g(y) = 1/8, support is $0 < y < 8$ g(y) = 1/4, support is $0 < y < 4$ g(y) = 3/4, support is $0 < y < 1$

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4) (15 points) A generating plant containing three identical 40 MW generating units is connected to a constant 82 MW load. The unit failure and average repair times are 3 failures/year and 8 days, respectively. Develop frequency, duration, and probability risk indices for this system. P(80MW) = [ ] F(80MW) = [ ] Average Duration (80MW) = [ ]

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4. Suppose an improvement to environmental quality (EQ) shifts the MC of producing soybeans from MC1 = 400 + 2Qs to MC2 = 400 + 0.5Qs. Also suppose the market price per tonne of soybeans is $440. a. How many tonnes of soybeans are farmers willing to produce before the improvement in EQ? b. How many tonnes of soybeans will farmers be willing to produce after the improvement in EQ? c. Estimate the benefit to soybean farmers from the improvement in environmental quality.

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A. If people get higher pay from insurance than their premiums. Will this increase or decrease the death rate of average persons? Is this an example of moral hazard or adverse selection? How will an insurance company deal with these problems? B. Each of the following situations involves moral hazard. In each case, identify the principal and the agent, and explain why there is asymmetric information. How does the action described reduce the problem of moral hazard? i. Landlords require tenants to pay security deposits. ii. Firms compensate top executives with options to buy company shares at a given price in the future. iii. Car insurance companies offer discounts to customers who install anti-theft devices in their cars QUESTION 2: A. Do you think the Internet is a public good? Why or why not? Why is there litter along the streets of Ghana but rarely in people's gardens or compound? QUESTION 3: A. Think about the goods and services provided by your local government. Classify the following goods and services into public goods, private goods, common resources and natural monopoly. i. police protection ii. road gritting iii. street lighting iv. education v. military protection vi. radio broadcasts vii. rural roads viii. city streets. ix. clothing x. the environment B. Why do you think the government provides items that are not public goods? C. It is rumored that the government subsidizes cocoa farming, and that the subsidy is larger in areas with more tourist attractions. Can you think of a reason why this policy might be efficient?

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robert e.