The U.S. Senate has two senators from each of the 50 states (100 senators total).

A) In how many ways can a committee of five senators be chosen if no state is to have two members on the committee?

B) In how many ways can a committee of seven senators be chosen if exactly one pair of senators share their state?

C) What is the probability a randomly selected pair of senators will be from different states?

1. The IQs of all college freshmen last year were approximately normally distributed, with a mean of 115 and a standard deviation of 8. The middle 50% of the IQs are between what two IQs?

1. Say you have an “upstream” agent (the producer) who is producing charcoal.

(a). The firm-specific demand for grills in a week is given by the equation Q=200-2P. The firm’s marginal cost curve is Q= P - 40. Graph this market, labeling everything relevant. What are the equilibrium price and quantity? Show how to solve this algebraically. Assuming we have full cost pricing, how do you calculate CS, PS, and TS here? What are they in dollars?

(b). With production comes polluting. In this case chrome sludge is dumped in the river, and that pollution is damaging a downstream agent (the by-stander) who runs a lemonade stand using “spring-fed water” from the river. In particular, each grill has been estimated to cause a loss of $6 in revenue for Tricia, who runs the lemonade stand. In a new graph, add a social cost curve to the private market. Assuming the social cost is fully captured in the lost revenue to the resort (a heroic assumption, to be sure), how large is the social loss associated with weekly production? If that loss is added to CS and PS when calculating TS, what is the new TS?

(c). What are the social price and quantity? (Hint: Use algebra). What would CS, PS, the social loss (if any), and TS be at the social equilibrium? (Assume that the producer will pay Tricia $6 for each unit produced). Would society be better off if the social price replaced the private price in this market? Why or why not? (Hint: What has happened to Total Surplus)? Compared to the social equilibrium, is there too much or too little produced at the private equilibrium? Compared to the social equilibrium, is the private price too high or too low?    

The dataset TrafficFlow gives the delay time in seconds for 24 simulation runs in Dresden, Germany, comparing the current timed traffic light system on each run to a proposed flexible traffic light system in which lights communicate traffic flow information to neighboring lights. On average, public transportation was delayed 105 seconds under the timed system and 44 seconds under the flexible system. Since this is a matched pairs experiment, we are interested in the difference in times between the two methods for each of the 24 simulations. For the n=24 differences D, we were given that x¯D=61 seconds with sD=15.19 seconds. We wish to estimate the average time savings for public transportation on this stretch of road if the city of Dresden moves to the new system.

what parameter are we estimating? give correct notation

suppose that we write the 24 differences on 24 slips of paper. describe how to physically use the paper slips to create a bootstrap sample.

what statistic do we for this one bootstrap sample?

if we create a bootstrap distribution using many of these bootstrap statistics what shape do we expect it to be centered?

how can we use the values in the bootstrap distribution to find the standard error?

the standard error 3.1 for one set of 10,000 bootstrap samples. find and interpret a 95% confidence interval for the average time savings.

C++ program that runs on Visual Basic that computes the total cost of books you want to order from an online bookstore. It does so by first asking how many books are in your shopping cart and then based on that number, it repeatedly asks you to enter the cost of each item. It then calls two functions: one for computing the taxes and another for computing the delivery charges. The function which computes delivery charges works as follows: It adds a 5% delivery charge for standard delivery if the total is below $1,000, and an additional 10% charge if you want an expedited next day delivery. The tax and delivery charges are added to the bill and the total cost is displayed.

Design two shell programs working on Linux (Ubuntu)

1. Design a shell script program, 1) reading given only two integer numbers from command line arguments and computing their multiplication. If two integer numbers are not given, print “Wrong Input” on your screen. Note that, the number of arguments is known when the script runs.

Take a screenshot showing your shell program and its execution step.

2. Design a shell program to remove all the shell programming files ending with sh on your home directory when a SIGINT signal is received.

Take three screenshots (The first screenshot shows one or more sh files on your home directory, and the second screenshot shows your shell program and its execution step, the third screenshot shows that sh files do not exist in your home directory after executing your shell program).

Submit your four screenshots.

Mary has her own business, a nail salon that she runs out of her home.She is the only nail technician but serves many clients in one day. The following tables provide information about time between arrivals and service time required for a manicure. Assume the only service offered is a manicure.

The first random number generted for arrivals is used to tell us then the first customer arrives after the shop opens. the second random number generated for service is used to tell us how long the service took.

Answer the following questions using the charts above:

1) What time does the first customer arrive if the shop opens at 8 am?

2) What number customer will be the first to wait?

3) How long does the second customers appointment take?

Tony and Suzie see the need for a rugged all-terrain vehicle to transport participants and supplies. They decide to purchase a used Suburban. The cost of the Suburban is $12,000. The vehicle is purchased in late June and will be put into use on July 1, 2019. Annual insurance from GEICO runs $1,800 per year. The paint is starting to fade, so they spend an extra $3,000 to repaint the vehicle, placing the Great Adventures logo on the front hood, back, and both sides. An additional $2,000 is spent on a deluxe roof rack and a trailer hitch. The painting, roof rack, and hitch are all expected to increase the future benefits of the vehicle for Great Adventures. They expect to use the Suburban for five years and then sell the vehicle for $4,500.

Required:

Determine the amount that should be recorded for the new vehicle.

Indicate where any amounts not included in the Equipment account should be recorded.

Prepare a depreciation schedule using the straight-line method. Follow the example in Illustration 7–11, except the first and last years will have a half-year of depreciation to reflect the beginning of its service life on July 1, 2019.

Record the sale of the vehicle two years later on July 1, 2021, for $10,000.

An Internet user wants to know the average download speed for his Internet connection. Suppose we know that the standard deviation is 7 mbps. He runs a speed test everyday at noon for 30 days. The average speed of the tests was 13.68 mbps. Construct a 95% confidence interval for the average speed of this Internet connection at noon.