The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fore and Aft decides to build a docking facility where one boat at a time can stop for gas and servicing. Assume that arrivals follow a Poisson probability distribution, with an arrival rate of 4 boats per hour, and that service times follow an exponential probability distribution, with a service rate of 8 boats per hour. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously.

Note: Use P₀ values from Table 11.4 to answer the questions below.

1. What is the probability that the boat dock will be idle? Round your answer to four decimal places.
   
   P₀ =  
   
2. What is the average number of boats that will be waiting for service? Round your answer to four decimal places.
   
   L_q =  
   
3. What is the average time a boat will spend waiting for service? Round your answer to four decimal places.
   
   W_q =  hours
   
4. What is the average time a boat will spend at the dock? Round your answer to four decimal places.
   
   W =  hours
   
5. If you were the manager of Fore and Aft Marina, would you be satisfied with the service level your system will be providing?
   
   Yes  
   
   Why or why not? Round your answers to whole numbers.
   
   Because the average wait time is  seconds. Each channel is idle  % of the time.

The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.8 ppm and standard deviation 1.8 ppm. 37 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.

1. What is the distribution of X? X ~ N(Correct,Correct)  
2. What is the distribution of ¯x? ¯x ~ N(,)
3. What is the probability that one randomly selected city's waterway will have less than 9.6 ppm pollutants?
4. For the 37 cities, find the probability that the average amount of pollutants is less than 9.6 ppm.
5. For part d), is the assumption that the distribution is normal necessary? YesNo
6. Find the IQR for the average of 37 cities.
   Q1 =  ppm
   Q3 =  ppm
   IQR:  ppm

Which factors are thought to influence the development of the Yuan/$ exchange rate in the near future?

How are these factors related to exchange rate theories?

2. When and how can countries be labeled currency manipulators?

Does China currently fit this criteria?

The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.7 ppm and standard deviation 1.8 ppm. 6 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.

1. What is the distribution of XX? XX ~ N(,)
2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
3. What is the probability that one randomly selected city's waterway will have less than 8.7 ppm pollutants?
4. For the 6 cities, find the probability that the average amount of pollutants is less than 8.7 ppm.
5. For part d), is the assumption that the distribution is normal necessary? YesNo
6. Find the IQR for the average of 6 cities.
   Q1 =  ppm
   Q3 =  ppm
   IQR:  ppm

The lob in tennis is an effective tactic when your opponent is near the net. It consists of lofting the ball over his head, forcing him to move quickly away from the net . Suppose that you loft the ball with an initial speed of 15.0 m/s at an angle of 50.0° the horizontal. At this instant your opponent is 10.0 m away from the ball. He begins moving away from you 0.21 s later, hoping to reach the ball and hit it back at the moment that it is 2.10 m above its launch point. With what minimum average speed must he move? (Ignore the fact that he can stretch, so that his racket can reach the ball before he does.)

1. There is widespread credible expectation that the general price level will fall in the near future;
   1. show and explain how this price expectation is likely to affect the prices of financial assets.
   2. Does the price signal have any implication for banking decisions? Why?

A small plastic sphere with a charge of -5nC is near another plastic sphere with a charge of -12nC. (a) If the spheres repel one another with a force of magnitude 8.2 x 10^-4, what is the distance between the spheres? (b) What is the new value of the force if the distance doubles its original value?

Gary Theater is in the Hoosier Mall. A cashier's booth is located near the entrance to the theater. Two cashiers are employed. One works from 1:00 to 5:00 p.m., the other from 5:00 to 9:00 p.m. Each cashier is bonded. The cashiers receive cash from customers and operate a machine that ejects serially numbered tickets. The rolls of tickets are inserted and locked into the machine by the theater manager at the beginning of each cashier's shift. After purchasing a ticket, the customer takes the ticket to a doorperson stationed at the entrance of the theater lobby some 60 feet from the cashier's booth. The doorperson tears the ticket in half, admits the customer, and returns the ticket stub to the customer. The other half of the ticket is dropped into a locked box by the doorperson. At the end of each cashier's shift, the theater manager removes the ticket rolls from the machine and makes a cash count. The cash count sheet is initialed by the cashier. At the end of the day, the manager deposits the receipts in total in a bank night deposit vault located in the mall. In addition, the manager sends copies of the deposit slip and the initialed cash count sheets to the theater company treasurer for verification and to the company's accounting department. Receipts from the first shift are stored in a safe located in the manager's office. (a)Identify the internal control principles and their application to the cash receipts transactions of Gary Theater. (b)If the doorperson and cashier decided to collaborate to misappropriate cash, what actions might they take?

The lob in tennis is an effective tactic when your opponent is near the net. It consists of lofting the ball over his head, forcing him to move quickly away from the net (see the drawing). Suppose that you loft the ball with an initial speed of 15.0 m/s at an angle of 50.0° the horizontal. At this instant your opponent is 10.0 m away from the ball. He begins moving away from you 0.41 s later, hoping to reach the ball and hit it back at the moment that it is 2.10 m above its launch point. With what minimum average speed must he move? (Ignore the fact that he can stretch, so that his racket can reach the ball before he does.)

*******Software testing occurs near the end of the programming process. Because of this, if a project falls behind schedule, testing time is often reduced. Discuss the possible impacts of less-than-thorough testing. Topics might include company reputation, customer dissatisfaction, the company’s ability to sell new or updated products, etc. Discuss which is worse: releasing a product late or releasing it on time without fully testing it.********