Lance H. and Wanda B. Dean are married and live at 431 Yucca Drive, Santa Fe, NM 87501. Lance works for the convention bureau of the local Chamber of Commerce, while Wanda is employed part-time as a paralegal for a law firm.

During 2016, the Deans had the following receipts:

Wanda was previously married to John Allen. When they divorced several years ago, Wanda was awarded custody of their two children, Penny and Kyle. (Note: Wanda has never issued a Form 8332 waiver.) Under the divorce decree, John was obligated to pay alimony and child support—the alimony payments were to terminate if Wanda remarried.

In July, while going to lunch in downtown Santa Fe, Wanda was injured by a tour bus. As the driver was clearly at fault, the owner of the bus, Roadrunner Touring Company, paid her medical expenses (including a one-week stay in a hospital). To avoid a lawsuit, Roadrunner also transferred $90,000 to her in settlement of the personal injuries she sustained.

The Deans had the following expenditures for 2016:

The life insurance policy was taken out by Lance several years ago and designates Wanda as the beneficiary. As a part-time employee, Wanda is excluded from coverage under her employer's pension plan. Consequently, she provides for her own retirement with a traditional IRA obtained at a local trust company. Because the mayor is a member of the local Chamber of Commerce, Lance felt compelled to make the political contribution.

The Deans' household includes the following, for whom they provide more than half of the support:

Penny graduated from high school on May 9, 2016, and is undecided about college. During 2016, she earned $8,500 (placed in a savings account) playing a harp in the lobby of a local hotel. Wayne is Wanda's widower father who died on January 20, 2016. For the past few years, Wayne qualified as a dependent of the Deans.

Federal income tax withheld is $5,200 (Lance) and $3,100 (Wanda). The proper amount of Social Security and Medicare tax was withheld.

Required:

Determine the Federal income tax for 2016 for the Deans on a joint return by completing the appropriate forms. Use Form 1040 and Schedule A to complete this tax return. They do not want to contribute to the Presidential Election Campaign Fund. All members of the family had health care coverage for all of 2016. If an overpayment results, it is to be refunded to them.

Make realistic assumptions about any missing data.

Enter all amounts as positive numbers.

If an amount box does not require an entry or the answer is zero, enter "0".

When computing the tax liability, do not round your immediate calculations. If required round your final answers to the nearest dollar.

Given that a sample is approximately normal with a mean of 25 and a standard deviation of 2, the approximate percentage of observation that falls between 19 and 31 is:

                     i.   67%

                     ii. 75%

                     iii. 95%

                     iv. 99.7%

                     v. can’t be determined with the information given

e.    The Law of Large Numbers implies the following:

               i. To calculate a probability an experiment needs to be theoretically                                                              

                           repeated

                     ii.   Probabilities can be calculated on sampling distributions

                     iii. The Law does not apply to subjective probabilities

                     iv. All of the above

                     v.   None of the above

1) Is the following study design an anecdote, experiment, or observational study?

You'd like to investigate if what color shirt fans wear to a game help the Le Moyne Women's Soccer team score goals? You attend every home game. You write down how many fans attended the game, what color shirt they wore, and how many goals the soccer team scored.

2) Among the 268 words in the Gettysburg Address, 99 contain at least 5 letters. Is 99/268 = .369 a statistic, a parameter, or neither?

3) If you calculate the average number of hours that students in your class slept last night, describe (in words) the corresponding parameter of interest.

The parameter of interest is the average number of hours that  students slept last night.

4) If the mean of a distribution is 75 and the standard deviation is 9, how many standard deviations above the mean is 120?

5) A 1999 Gallup survey of a random sample of 1005 adult Americans found that 69% planned to give out Halloween treats from the door of their home. Does this finding necessarily prove that 69% of all adult Americans planned to give out treats? (yes/no)

6) I have a 3/5 = .60 probability of winning a game of solitaire.

How many games do I have to play before I can use the CLT to reasonably approximate the sampling distribution of the sample proportion of wins?

7) Suppose author A and Author B are doing studies on the same variable. Author A collects a sample of size 50 and Author B collects a sample of size 200. It turns out they both happen to get identical sample statistics. They then both construct 95% confidence intervals. Who has the smaller confidence interval? (A/B)

8) As sample size increases, the standard deviation (increases/decreases/stays the same)

Use the Laplace transform to solve the following initial value problem:

?″+6?′+58?=?(?−4)

?(0)=0,?′(0)=0

(Notation: write u(t-c) for the Heaviside step function ??(?)uc(t) with step at ?=?t=c.)

Compare the measured values of tension to the calculated values of tension. What are the possible physical experiment uncertainties for the differences between the measured and calculated?

Measured= .075N

Caculated= .079N

Velocity v = .433m/s

Mass of Cylinder m = .1118kg

Radius of Pendulum r = .265

T=mv2/r

Explain the concept of age cohort. How does value based conflicts between these cohorts affect the development of marketing strategies?

Java iteration method, I need a method which iterates through a collection of books and adjusts the price of all books published between the given parameters to give a 20% discount off the price of each book published between the given years?

Book class

public class Book
{

    private String title;
    private String author;
    private int yearPublished;
    private double bookPriceInCAD;


    public Book(String inputTitle, String inputAuthor, int inputYearPublished, double inputBookPriceInCAD){
     setTitle(inputTitle);
     setAuthor(inputAuthor);
     setYearPublished(inputYearPublished);
     setBookPriceInCAD(inputBookPriceInCAD);
    }

    public String getTitle(){
        return title;
    }

    public String getAuthor(){
        return author;
    }

    public int getYearPublished(){
        return yearPublished;
    }

    public double getBookPriceInCAD(){
        return bookPriceInCAD;
    }

    public void setTitle(String title){
        if(title !=null && !title.isEmpty()){
            this.title = title;
        } else if(title == null){
            throw new IllegalArgumentException("title cannot be null");
        } else if(title.isEmpty()){
            throw new IllegalArgumentException("title cannot be an empty String");
        }
     }

     public void setAuthor(String author){
        if(author !=null && !author.isEmpty()){
            this.author = author;
        } else if(author == null){
            throw new IllegalArgumentException("author cannot be null");
        } else if(author.isEmpty()){
            throw new IllegalArgumentException("author cannot be an empty String");
        }
    }

    public void setYearPublished(int yearPublished){
        if(yearPublished > 0){
            this.yearPublished = yearPublished;
        } else {
            throw new IllegalArgumentException("year published cannot be negative");
        }
      }

    public void setBookPriceInCAD(double bookPriceInCAD){
        if(bookPriceInCAD > 0){
            this.bookPriceInCAD = bookPriceInCAD;
        } else {
            throw new IllegalArgumentException("book price in CAD cannot be negative");
        }
    }

BookStore Class

import java.util.ArrayList;
import java.util.Iterator;
public class BookStore
{
  

    private ArrayList<Book> bookList;
    private String businessName;
  

    public BookStore()
    {
        // initialise instance variables
        bookList = new ArrayList<Book>();
        businessName = "Book Store";
      
    }

    public BookStore(String inputBusinessName){
        setBusinessName(inputBusinessName);
        bookList = new ArrayList<Book>();
     }


    public void setBusinessName(String businessName){
        if(businessName !=null && !businessName.isEmpty()){
            this.businessName = businessName;
        } else if(businessName == null){
            throw new IllegalArgumentException("business Name cannot be null");
        } else if(businessName.isEmpty()){
            throw new IllegalArgumentException("business Name cannot be an empty String");
        }
     }

    public String getBusinessName(){
        return businessName;
    }

    public ArrayList<Book> getBookList(){
        return bookList;
    }

    public void addBook(Book book){
      if(book!=null){
          bookList.add(book);
    }
    }

    public void getBook(int index) {
    if((index >= 0) && (index <= bookList.size())) {
        Book oneBook = bookList.get(index);              
        oneBook.displayDetails();
    }
    else{
        System.out.println("Invalid index position");
    }
    }

    public void searchBook(String title){
        for(Book b: bookList){
         String bookTitle = b.getTitle();
        if(bookTitle.equalsIgnoreCase(title)){
            b.displayDetails();
        } else{
            System.out.println("book not found");
    }
    }
    }

    public void displayBookDetails(){
        for(Book oneBook: bookList){
            oneBook.displayDetails();
          
      }
    }
  

    public static void main(String[] args){
        BookStore list = new BookStore();
        Book b1 = new Book("hello world","steven segal",2005,20.00);
        Book b2 = new Book("goodbye world","Jeff country", 208,10.00);
        Book b3 = new Book("no world","Bill Nye",202,30.00);
        list.addBook(b1);
        list.addBook(b2);
        list.addBook(b3);
        list.getBook(4);
        list.getBook(2);

        list.displayBookDetails();
    }
  
       public int donateBook(int yearPublished){
        Iterator<Book> iter = bookList.iterator();
        int count = 0;
        while(iter.hasNext()){
            Book aBook = iter.next();
          
            if(yearPublished <= aBook.getYearPublished()){
                iter.remove();
                count++;
            }
        }
        return count;
    }
    public void applyDiscountToBook(int beginYear, int endYear){
    }
   

7. Is there a difference between value in use and value in exchange?  How does the distinction between Total Utility and Marginal Utility help one answer this question?  Might the Diamond-Water Paradox provide a helpful illustration?

8. Assume you are an economist charged with advising Santa Claus and Santa, concerned about consumer satisfaction, tells you that he wants you to find an efficient way for people to end up with gifts that better conform with their wishes. In advising Santa, what would you tell him?  Explain.

9. Ordinal Utility (Indifference Curves & Budget Constraint Lines) has been said to have an inherent advantage over Cardinal Utility (which includes units of satisfaction) when it comes to application.  Is there an inherent advantage and, if so, what is it?  Explain.

a) Describe in brief one experimental evidence by giving the name of the experiment and

the phenomenon it exhibited, that shows light has: [3]

(i) wave property.

(ii) particle property.

b) The Einstein’s equation for the photoelectric effect is,

hf = KEmax + W0

where W0 is the work function of the metal.

(i) By referring to the terms involved in the equation, explain the physical process this

equation represents. [3]

When the surface of a metal is illuminated with monochromatic light, photoelectrons are

emitted. How will the number of photoelectrons emitted and the maximum speed of the

photoelectrons are affected when: [4]

(ii) the light intensity is increased but its frequency remains constant? Explain.

(iii) the light frequency is increased but the intensity remains constant? Explain.