2. Suppose that the probability that a grant proposal is awarded by a funding agency is 0.3. (a) If, for a particular year, there are 100 proposals submitted to that agency, what is the probability that at most 20 proposals are awarded? Consider any necessary approximation.

1. Maureen lives in Washington State. She went to California on a vacation, and went to a movie theater with a friend while she was there. She was injured due to the movie theater's negligence in not maintaining properly a carpeted stairway inside the theater. California is the state of incorporation and principal place of business for the owner of the business (George W. Bush Enterprise, Inc.). For this discussion consider George W. Bush Enterprises, Inc. a “person”.

Maureen’s injuries amount to about $80,000 in lost wages and medical bills (not counting pain and suffering). Maureen should be able to have her case against George W. Bush Enterprises, Inc., decided in a US District Court, based on complete diversity of citizenship. T or F

2. In order for a trial court to hear a criminal case the court must have subject matter jurisdiction and the legal authority to require the defendant to stand trial? T of F

3.The legal term for the questioning of potential jurors, to try to determine if they will be impartial toward each of the parties to a lawsuit is:

a. Interrogatories

b. Oral arguments

c. Precedent

d. Certiorari

e. Voir dire

4.  Discovery in a civil trial includes the use of interrogatories and requests for production? T or F

5. A lawyer may waive his/her attorney-client privilege? T or F

6. The "burden of proof" in a criminal case rests on the government to show that a defendant is guilty. If the government cannot prove its case “beyond a reasonable doubt” then the jury must determine that defendant is “not guilty.” T or F

7.

The Washington State Supreme Court (the highest court in the Washington state system) makes a decision based on the facts of a particular case. Lower state courts that are within the State of Washington must follow the legal rule laid down by that high court. This is the concept known as:

a. President

b. Precedent

c. Prescient

d. Presentence

e. Presence

1. Maureen lives in Washington State. She went to California on a vacation, and went to a movie theater with a friend while she was there. She was injured due to the movie theater's negligence in not maintaining properly a carpeted stairway inside the theater. California is the state of incorporation and principal place of business for the owner of the business (George W. Bush Enterprise, Inc.). For this discussion consider George W. Bush Enterprises, Inc. a “person”.

Maureen’s injuries amount to about $80,000 in lost wages and medical bills (not counting pain and suffering). Maureen should be able to have her case against George W. Bush Enterprises, Inc., decided in a US District Court, based on complete diversity of citizenship. T or F

2. In order for a trial court to hear a criminal case the court must have subject matter jurisdiction and the legal authority to require the defendant to stand trial? T of F

3.The legal term for the questioning of potential jurors, to try to determine if they will be impartial toward each of the parties to a lawsuit is:

a. Interrogatories

b. Oral arguments

c. Precedent

d. Certiorari

e. Voir dire

4.  Discovery in a civil trial includes the use of interrogatories and requests for production? T or F

5. A lawyer may waive his/her attorney-client privilege? T or F

6. The "burden of proof" in a criminal case rests on the government to show that a defendant is guilty. If the government cannot prove its case “beyond a reasonable doubt” then the jury must determine that defendant is “not guilty.” T or F

7.

The Washington State Supreme Court (the highest court in the Washington state system) makes a decision based on the facts of a particular case. Lower state courts that are within the State of Washington must follow the legal rule laid down by that high court. This is the concept known as:

a. President

b. Precedent

c. Prescient

d. Presentence

e. Presence

Suppose that a financial analyst collected the following data: rate of return on T-bill is 2.5%

Market risk premium is = 5%; company's beta is 0.7; D₁ = $2.00; current stock price is

$30.00; future growth of dividends is 6%.

a. What is this firm’s cost of equity using the DCF approach?

A local juice manufacturer distributes juice in bottles labeled 12 ounces. A government agency thinks that the company is cheating its customers. The agency selects 20 of these bottles, measures their contents, and obtains a sample mean of 11.7 ounces with a standard deviation of 0.7 ounce

Use a 5% level of significance

A mixture of He and N2 gas is contained in a pipe at 298 K and 1 atm total pressure which is constant throughout. At one end of the pipe at point 1 the partial pressure of He is 0.6 atm and at the other end, 0.2 m away, the partial pressure is = 0.2 atm. 1. Calculate the flux of He at steady state if DAB of the He-N2 system is 0.684 x 10-4 m2 /s. R = 8.314 m3Pa/mol K. 2. Recalculate the flux of A assuming only molecular diffusion applies, i.e. ignore the bulk motion term.

You can produce 1,000 umbrellas at a production cost of $1.75 per unit. Alternatively, you may produce 3,000 umbrellas at a cost of $2.25 per unit. Umbrella sales this year are highly dependent on weather, and you believe there is a 0.2 chance of high demand due to bad weather, and a (1-0.2) chance of low demand. If there is high demand, you can sell the umbrellas for $4, and if there is low demand, you can only get $2 per widget. How many umbrellas should you choose to produce if you remain uncertain about the weather?

1)Calculate the weighted average of the standard deviation of individual stocks A and B ; and show that each portfolio standard deviation is less than this weighted average except the portfolio standard deviation with correlation of 1.

2) Given correlation of -1, what portfolio weights will reduce the portfolio standard deviation to zero? Show calculations to support your answer.

1. Going forward, the stock market and Bananarama’s stock price have the following probability distribution:

Stock Market                                Bananarama Stock           

Probability                                      Rate of Return                                Rate of Return                        

0.2                                                  (4%)                                                   (6%)

0.6                                                   8%                                                     10%

0.2                                                  14%                                                   20%                  

(a) Calculate the expected rate of return for the stock market and for Bananarama’s stock.

                        Expected rate of return

b) Is Bananarama’s stock more volatile or less volatile that the stock market in genera

(c) Is the Beta for Bananarama’s stock lower or higher that 1.0?

(d) Is Bananarama’s cost of equity higher or lower that the stock market’s average cost of equity?

(e) Why?

Program C You are given some data from an animal shelter, listing animals that they currently have. They have asked you to write a program to sort the dogs and cats in age in ascending order, respectively, and write them in separate files. Assume the input file has the format of name (one word), species (one word), gender (one word), age (int), weight (double), with each animal on a separate line:

Hercules cat male 3 13.4

Toggle dog female 3 48

Buddy lizard male 2 0.3 ….

Example input/output:

Enter the file name: animals.txt

Output file name: sorted_dogs.txt sorted_cats.txt

1. Name your program animals.c.

2. The output file name should be sorted_dogs.txt and sorted_cats.txt. Assume the input file name is no more than 100 characters.

3. The program should be built around an array of animal structures, with each animal containing information of name, species, gender, age, and weight. Assume that there are no more than 200 items in the file. Assume the name of an animal is no more than 100 characters.

4. Use fscanf and fprintf to read and write data.

5. Your program should include a sorting function so that it sorts the animals in age. You can use any sorting algorithms such as selection sort and insertion sort. void sort_animals(struct animal list[], int n);

6. Output files should be in the format of name gender age weight, with 2 decimal digits for weight.

For example,

Toggle female 3 48.01

Rocky male 5 52.32

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

μ = 5.0; σ = 0.8

P(7 ≤ x ≤ 9) =