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Bag A contains 2 white, 1 black and 3 red balls, bag B contains 3 white, 2 black and 4 red balls and bag C contains 4 white, 3 black and 2 red balls. One bag is selected at random and 2 balls are drawn at random. If the selected balls happen to be red and black, what is the probability that both balls come from bag B?

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An International Monetary Fund Factsheet made the following observation regarding sound financial systems: "A country's financial system includes banks and non-bank lenders, insurers, securities markets, and investment funds....These institutions provide a framework to...channel savings into investment, thus supporting economic growth." a. Briefly explain how the financial system channels savings into investment.

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HOME 1. The position versus time for a certain particle moving W along the xaxis is shown in Figure P2.1. Find the average velocity in the time intervals (a) 0 to 2 s , (b) 0 to 4 s , (c) 2 s to 4 s , (d) 4 s to 7 s , and (e) 0 to 8 s . Figure P2.1 Problems 1 and 9.

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A. Design NFA and DFA diagrams for the following regular expression: $(a+b)^*ab^*$. Note: Show your steps.

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Figure 10-2 The vertical distance between points A and B represents a tax in the market.

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In questions 1-6 consider the Solow model with a Cobb-Douglas production function \\ ($Y = AK^\alpha L^{1-\alpha}$) without technological change. Population growth occurs at the rate $n$, \\ depreciation at the rate $\delta$, and the saving rate is $s$. Assume that initially (time 0) the \\ economy is in its steady state. (7 points - each question is worth a point except (1)). \\ Suppose at time 0 there is a plague that decreases the time 0 population. There is no change \\ in the population growth rate.\\ [1] What happens to the time zero capital labor ratio? What happens to the steady state \\ capital/labor ratio and steady state productivity ($Y/L$)? Explain. (2 points)\\ [2] What happens to the time 0 real wage? Explain.\\ [3] What is the impact on steady state real wage? Explain.

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An Engineer has been asked to evaluate two alternatives, X and Y that may increase plant capacity for manufacturing high-pressure hydraulic hoses. The parameters associated with each alternative have been estimated as shown in the table below. ALTERNATIVE X Y FIRST COST, $ -58,000 -45,000 MAINTENANCE COST, -4,000 -8,000 $/YEAR SALVAGE VALUE, $ 12,000 2,000 LIFE, YEARS 5 7 Assume an interest rate of 12% and match the following questions with the closest correct answers from the given list. What is the present worth of Method X over LCM years of operation? What is the present worth of Method Y over the LCM years of operation? Which method is better on the basis of present worth analysis? A. $-416,156 B. $-144,396 C. $-317,407 D. Method Y E. $-148,801 F. Method X

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Q4 Following is a queue implemented using arrays 0 1 2 3 4 5 6 Q U E ^ Head Pointer a. What cell does the Tail pointer point to? Draw the queue and indicate the position of the head pointer and the tail pointer after each of the following operations are performed on the above queue a) Enqueue A b) Dequeue A c) Dequeue Q d) Enqueue E e) Enqueue F f) Enqueue Z g) Enqueue M h) Enqueue N i) Enqueue T

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Market has a demand for movie subscription services given by Q=100-10P. The firm’s cost function is given by C(Q)=Q. (show all of your work) Netmovie is the only internet movie provider with TC(Q)=Q. What is the price, the quantity and the profit of the firm in equilibrium? (max. 6 points) Suppose now that the market with the demand given above, is a competitive market, and all firms are identical with TC(Q)=Q2, and the equilibrium price is P=2. What is the number of subscriptions a firm will provide? (max. 2 points) How many firms are there? (max. 5 points)

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Name one difference that results in the tax treatment of an individual who is classified as an "independent contractor" versus an "employee". And name two factors that might enter into the consideration of which of these two categories was appropriate.

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anthony g.