A statistics student who is curious about the relationship between the amount of time students spend on social networking sites and their performance at school decides to conduct a survey. Three research strategies for collecting data are described below. Match each strategy with the correct sampling method. He randomly samples 40 students from the study's population, gives them the survey, asks them to fill it out and bring it back the next day. Answer 1 He gives out the survey only to his friends, and makes sure each one of them fills out the survey. Answer 2 He posts a link to an online survey on his Facebook wall and asks his friends to fill out the survey. Answer 3

McDonald's Corporation has 8 7/8% bonds that mature in 15 years. What is the value of a $1000 par value McDonald's Corporation bond for each of the following required rates of return assuming the investor will hold the bond to maturity assume the coupon is paid annually?
a. 10.00%
b. 8.875%
c. 6.00%

a = [3, -4, 7] b = [-6, 9, 8] c = [4, 0, 8] d =[7, 1, 7] e = [3, -5, 2, 1] f =[5, -7, -3, 6] g = [3, -4, 4, 3]
P = Projection of
ex. C = |g|(gf/gf) C = gf/|f|
ex. P g --> f = Cgf = C(gf/f) (1/|f|) (f) =( gf/ff)(f)
Find
a. Pg --> f
b. Pa --> 3b + e

Find (cross multiply)
a. ||a X b||
b. ||g X e||
c. ||d X b||
d. Calculate d X b
e. Calculate c X d

Multiple Choice

Select the best answer from the available choices for each question.

1.   Which of the following is NOT part of the definition of a sample space S?

•   S can be discrete or continuous

•   Each outcome must be in S at most once

•   Each element in S is equally likely

•   Each outcome must be in S at least once

•   S is a set of possible outcomes in an experiment

2.   Three A’s, three B’s, and two C’s are arranged at random in a row. What is the probability that the letters on both ends are different?

•   0.01

•   0.25

•   0.75

•   0.99

•   None of the above

3.   When constructing this exam, Diana and Audrey made a question bank of 40 Multiple Choice questions (you get 15), 30 True/False questions (you get 10), 30 Identify the Distribution questions (you get 10), and 4 versions of each of the 5 Long Answer questions. Assuming the order of the questions does not matter, how many different exams could be created?

  
•   4.029 x 10^10
  
•   5.260 x 10^22
  
•   3.718 x 10^28
  
•   6.403 x 10^53
  
•   none of the above

4.   Three people independently choose one of five sections of a course to enroll in. What is the probability that at least two enroll in the same section?

  
•   0.28
  
•   0.48
  
•   0.52
  
•   0.72
  
•   None of the above

5.   Three people are acting in a play. Character A has 50% of the lines, Character B has 40%, and Character C has 10%. Each person has a different probability of making a mistake on any line, independently: 0.03 for A, 0.07 for B, and 0.20 for C. Given that a mistake occurred, what is the probability that it was C’s line?

  
•   0.02
  
•   0.063
  
•   0.317
  
•   0.444
  
•   None of the above

6.   Which matches the conditions for using a Binomial approximation to the Hypergeometric?

  
•   N must be large and n must be small relative to N
  
•   The sampling must be done with replacement
  
•   n must be large and r/N must be small
  
•   Two or more of the above
  
•   None of the above

7.   Suppose the amount of data you use on your phone (in units of 100 MB) has a Poisson distribution with mean 8 per month. You pay $15 per month plus $3 per 100 MB of data. Find the standard deviation of a random month's phone bill.

•   6.245

•   8.485

•   9.327
  
•   72
  
•   None of the above

8.   The amount of time a user plays Animal Crossing has an Exponential distribution with mean 30 minutes. Given that the user has been playing for 1 hour, what is the probability they will still be playing half an hour later?

•   0.012

•   0.135

•   0.368

•   0.632

•   None of the above

9.   Which of the following 4 statements is FALSE?

  
•   If X~Y (i.e. X and Y have the same distribution), then they have a correlation of 1
  
•   If X and Y are independent, they have a correlation of 0

•   If X and Y have a correlation of 0, and Y and Z have a correlation of 1, then X and Z have correlation of 0

•   Correlation tells us the strength and direction of the linear relationship between two variables, whereas covariance only tells us the direction

•   Two or more of the above are false

10.   Which of the following 4 statements is TRUE?

•   If X and Y have a negative correlation, they are independent

•   If X and Y have a correlation of 0, they are independent

•   If X and Y have a positive correlation, and Y and Z have a positive correlation, then X and Z have positive correlation

•   If X = -0.5Y, then the correlation of X and Y is -1

•   Two or more of the above are true

11.   Which of the following 4 statements is FALSE?

  
•   The Normal distribution has mean, median, and mode all equal to μ   

•   A Normal random variable with a larger variance has a smaller maximum height of its pdf

•   Approximately 95% of the area under the Standard Normal pdf is between -1 and 1

•   The cdf F(x) of a Normal random variable is strictly increasing for all Real values of x

•   Two or more of the above are false

12.   The return on stock X has mean 5 and standard deviation 3. The return on stock Y has mean 8 and standard deviation 10. The standard deviation of an equal portfolio of the two stocks (that is, 0.5X + 0.5Y) is 24.25. What is the correlation between X and Y?

•   -0.2
  
•   0

•   0.2

•   0.4
  
•   None of the above

13.     Suppose the length in cm of a male soccer player's foot follows a Normal distribution with mean 30 and variance 25. Suppose the length in cm of a female soccer player's foot follows a Normal distribution with mean 26 and variance 16. A male and female soccer player are selected at random. What is the probability the female player has a longer foot than the male player?

•   0.09

•   0.27

•   0.33

•   0.73

•   0.91

14.   Independently of one another, a randomly surveyed individual can be a non-smoker, a light smoker, or a heavy smoker with probabilities 60%, 30% and 10%, respectively. Suppose we randomly survey a sample of 100 people. Given that 37 of them are light smokers, what is the expected number of heavy smokers?

•   6.3

•   9

•   27

•   54

•   None of the above

15.   The Princess Theatre has 280 seats. 200 tickets are sold for the new popular movie: The Attack of the Goose. Despite every attendee having an assigned seat, they all decide to sit in seats at random. Find the variance of the number of people sitting in their assigned seat. (Hint: use indicator variables)

•   0.712

•   0.714

•   5.246

•   11.704

•   None of the above

Solve the following using a generating function:

Elizabeth is hosting a party inviting 7 friends. She bought gifts as the following: 8 teddy bears, 8 books, 5 watches. If she wants to give 16 gifts in total, where each person gets two gifts, with at least 2 teddy bears and 1 book. How many possible ways are there to choose from what she bought? Note: Don't distinguish between who gets what, just consider the 16 gifts.

Please only use a generating function, will upvote for that.

On January 1, 2016, Emily Tax Services issued $200,000, 9%, four-year bonds. Interest is paid semiannually on June 30 and December 31. The bonds were issued when the market rate was 8%. Required:

5.Find the selling price of the Bonds

6.Prepare an amortization schedule that determines interest at the effective interest rate.

7.Prepare an amortization schedule by the straight-line method.

8.Prepare the journal entries to record interest expense on June 30, 2018, by each of the two approaches.

Please provide details formula.

Question 3

If a 8 kg mass, moving at 7 m/s to the right, hits and sticks to a 18 kg mass, moving at 20 m/s to the right, and they travel off together at the same speed to the right, find that speed.

Hint: both masses are moving to the right, so both velocities are positive. Use the "hit and stick" or inelastic formula

Question 4

If a 11 kg mass, moving at 7 m/s to the right, hits and sticks to a 20 kg mass, moving at 4 m/s to the left, and they travel off together at the same speed, find that speed.

Hint: here, the masses are moving in opposite directions, so the velocities should have opposite signs. Call "to the right" positive and "to the left" negative. Use the "hit and stick" or inelastic formula.

Question 5

If a 1848 kg car, moving at 7 m/s north, hits and sticks to a 2250 kg truck, moving at 5 m/s south, and they travel off together at the same speed, find that speed.

Hint: here the masses are moving in opposite directions, so the velocities should have opposite signs. Call North positive and South negative. Use the "hit and stick" or inelastic formula

Also, a positive answer would indicate motion to the north and a negative answer would show southward motion - leave positive/negative in your answer.

Question 6

If a 1277 kg car, moving at 10 m/s north, hits and sticks to a 3269 kg truck, moving at 7 m/s east, find the magnitude of the final speed.

Hint: here the masses are moving north and east (or in the x & y directions) - so it's a two dimensional problem. Just like all other two dimensional problems we need to separate the x and y motions, treat each separately, and the put the two directions back together. Use the "hit and stick" or inelastic formula

• use the inelastic collision formula in the x-dir, only using the x-components of the two velocities
• use the inelastic collision formula in the y-dir, only using the y-components of the two velocities
• use the Pythagorean Theorem to combine the x & y components so as to get the magnitude of the final velocity
• use arcTan(v_y' / v_x') to get the direction of the final velocity
• if the angle doesn't end up in the first quadrant, then fix the angle

Question 7

If a 1556 kg car, moving at 6 m/s north, hits and sticks to a 3193 kg truck, moving at 10 m/s west, find the direction of the final speed.

Hint: two dimensional problem.

Question 8

If a 1220 kg train car on a one dimensional track, moving at 10 m/s north, hits and bounces off a second train car with a mass of 2338 kg , moving at 10 m/s south, find the magnitude of the final speed of the first car (the second car will have a different speed, most probably in the opposite direction).

Hint: One dimensional problem, call north positive. Use the "hit and bounce" or elastic formula that goes with car #1

Also, a positive answer would indicate motion to the north and a negative answer would show southward motion - leave positive/negative in your answer.

Question 9

If a 9 kg bowling ball, moving at 15 m/s to the right, hits and bounces off a second bowling ball with a mass of 11 kg , moving at 10 m/s to the left, find the magnitude of the final speed of the second ball.

Sonya's Christmas Tree Company began operations on April 1, 2016, when Sonya bought a parcel of land on which she intended to grow Christmas trees. The normal growth time for a Christmas tree is approximately six years, so she divided her land into seven plots. In 2016, she planted the first plot with trees and watered, cultivated, and fertilized her trees all summer. In 2017, she planted her second plot with trees and watered, cultivated, and fertilized both planted plots. She continued with her plantings and cultivation every year through 2022, when she planted the last plot. In November 2022, she harvested the first plot of trees that she had planted in 2016. In 2023, she replanted the first plot.

Required:

a.  

Explain when the company should be recognizing revenue. Why is this the case?

b.  

Using your recommended revenue recognition policy, how would Sonya account for all her costs for growing the trees?

c.

Why Sonya split her land into 7 plots, and planted only one plot each year. Why didn’t she plant ALL of the land in 2016?

As the HIM manager, you have several teams that report to you, including; coding, release of information, and scanning. Below you will find some information on each team based on recent audits. Research and locate AHIMA’s productivity benchmarking standards to assist in completing the assignment.

A productivity and accuracy audit recently occurred of the five coders that report to you. Below are the results of the study:

Your department currently receives on the average 300 charts per day. Your facility compliance guidelines state that coders should maintain at least a 95% accuracy rate. Using the audit results, AHIMA’s benchmarking standard, and compliance guidelines, develop feedback for each of the coders.

Your feedback to each coder should be positive and comprehensive. Feedback must address at least productivity, accuracy, and suggestions for improvement. During this process, the department director has asked you to evaluate if you have enough staff to maintain the workload and to make recommendations for a change in staffing if necessary. Develop a proposal for staffing change if necessary.

The Sunbelt Corporation has $44 million of bonds outstanding that were issued at a coupon rate of 12.175 percent seven years ago. Interest rates have fallen to 11.50 percent. Mr. Heath, the Vice-President of Finance, does not expect rates to fall any further. The bonds have 18 years left to maturity, and Mr. Heath would like to refund the bonds with a new issue of equal amount also having 18 years to maturity. The Sunbelt Corporation has a tax rate of 36 percent. The underwriting cost on the old issue was 3.3 percent of the total bond value. The underwriting cost on the new issue will be 1.5 percent of the total bond value. The original bond indenture contained a five-year protection against a call, with a call premium of 8 percent starting in the sixth year and scheduled to decline by one-half percent each year thereafter (consider the bond to be seven years old for purposes of computing the premium). Use Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. Assume the discount rate is equal to the aftertax cost of new debt rounded up to the nearest whole percent (e.g. 4.06 percent should be rounded up to 5 percent).

a. Compute the discount rate. (Do not round intermediate calculations. Input your answer as a percent rounded up to the nearest whole percent.)
Discount Rate:_____________

b. Calculate the present value of total outflows. (Do not round intermediate calculations and round your answer to 2 decimal places.)
PV of total outflows:_________

c. Calculate the present value of total inflows. (Do not round intermediate calculations and round your answer to 2 decimal places.)
PV of total inflows:_______

d. Calculate the net present value. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places.)
Net present value:_______
e. Should the Sunbelt Corporation refund the old issue?
Yes or No