Required information [The following information applies to the questions displayed below.] Read the following letter and help Shady Slim with his tax situation. Please assume that his gross income is $172,900 (which consists only of salary) for purposes of this problem. December 31, 2020 To the friendly student tax preparer: Hi, it’s Shady Slim again. I just got back from my 55th birthday party, and I’m told that you need some more information from me in order to complete my tax return. I’m an open book! I’ll tell you whatever I think you need to know. Let me tell you a few more things about my life. As you may recall, I am divorced from my wife, Alice. I know that it's unusual, but I have custody of my son, Shady Jr. The judge owed me a few favors and I really love the kid. He lives with me full time and my wife gets him every other weekend. I pay the vast majority of my son's expenses. I think Alice should have to pay some child support, but she doesn't have to pay a dime. The judge didn't owe me that much, I guess. I had to move this year after getting my job at Roca Cola. We moved on February 3 of this year, and I worked my job at Roca Cola for the rest of the year. I still live in the same state, but I moved 500 miles away from my old house. I hired a moving company to move our stuff at a cost of $2,300, and I drove Junior in my car. Junior and I got a hotel room along the way that cost us $65 (I love Super 8!). Can you believe I’m still paying off my student loans, even after 15 years? I paid a total of $900 in interest on my old student loans this year. Remember when I told you about that guy that hit me with his car? I had a bunch of medical expenses that were not reimbursed by the lawsuit or by my insurance. I incurred a total of $20,000 in medical expenses, and I was only reimbursed for $11,000. Good thing I can write off medical expenses, right? I contributed a lot of money to charity this year (and have receipt documentation for all contributions). I’m such a nice guy! I gave $1,000 in cash to the March of Dimes. I contributed some of my old furniture to the church. It was some good stuff! I contributed a red velvet couch and my old recliner. The furniture is considered vintage and is worth $5,000 today (the appraiser surprised me!), even though I only paid $1,000 for it back in the day. When I contributed the furniture, the pastor said he didn’t like the fabric and was going to sell the furniture to pay for some more pews in the church. Oh well, some people just have no taste, right? Roca Cola had a charity drive for the United Way this year and I contributed $90. Turns out, I don’t even miss it because Roca Cola takes it right off my paycheck every month . . . $15 a month starting in July. My pay stub verifies that I contributed the $90 to the United Way. Oh, one other bit of charity from me this year. An old buddy of mine was down on his luck. He lost his job and his house. I gave him $500 to help him out. I paid a lot of money in interest this year. I paid a total of $950 in personal credit card interest. I also paid $18,000 in interest on my $500,000 home mortgage that helped me buy my dream home. I also paid $2,000 in real estate taxes for my new house. A few other things I want to tell you about this year. Someone broke into my house and stole my kid's brand new bicycle and my set of golf clubs. The total loss from theft was $900. I paid $125 in union dues this year. I had to pay $1,200 for new suits for my job. Roca Cola requires its managers to wear suits every day on the job. I spent a total of $1,300 to pay for gas to commute to my job this year. Oh, this is pretty cool. I've always wanted to be a firefighter. I spent $1,400 in tuition to go to the local firefighter's school. I did this because someone told me that I can deduct the tuition as an itemized deduction, so the money would be coming back to me. That should be all the information you need right now. Please calculate my taxable income and complete page 1 of Form 1040 (through taxable income, line 11b) and Schedule A. You're still doing this for free, right? a. Calculate the taxable income.

Take it to the Bank

Daryl Bank is an investment broker with Bank, Tank, & Shank a full service financial services firm serving the regional area of southern West Virginia. From the corporate offices in Beckley, Daryl manages a large number of clients throughout the southern part of the state.

Daryl is very customer service oriented and makes a personal effort to visit every client at least twice a year, even if it means traveling to his or her hometown. He usually travels to different county seats throughout the state and stays a couple of days in a local hotel so clients can visit him in these various locations. With his laptop Daryl can access account information and the latest information about traded securities using any number of software programs. His clients also enjoy seeing the demonstrations of portfolio programs for their specific accounts.

Daryl also uses these trips to visit West Virginia companies for potential investment possibilities. He likes to know the companies he invests in, and wants to get a competitive advantage in any investment decision. Since not many investment brokers are taking the time to visit some of the smaller publicly traded West Virginia companies, Daryl feels that he knows substantially more about these companies and their potential for excess returns than the general market. He is always looking for undervalued opportunities for investment purposes so that his customers can also enjoy many happy returns on their portfolios.

On a recent trip to Curveintheroad in the far southwestern part of the state, Daryl had the opportunity to visit three companies. He has been able to maintain a friendship with the top management of these companies and was given access to important financial data, which he planned to use to determine stock valuation.

The first company is Dig Deep, a regional coal mining company. They have been in operation for over 20 years and have the mining rights to over 100 square miles of land. Most of the coal they mine is the more clean burning anthracite coal. Even though they are a relatively small, company, they possess modern equipment and a very efficient mining operation.

The stock price for Dig Deep was $32 on January 1, 20x0, $36 on December 31, 20x0, $33 for 12/31/x1, $35 for 12/31/x2, $42 for 12/31/x3 and $44 for 12/31/x4. In the year 20x0 they paid a dividend of $1.00, the same for 20x1, $1.10 in 20x2, $1.25 in 20x3 and that amount again in 20x4. The standard deviation for their stock is 6%, beta is 0.80, and correlation coefficient is .60.

The second company is Moon Shine, a regional medicinal spirits company. This company got its start about 75 years ago and has been very successful establishing a niche market in all natural herbal remedies. What makes this company especially appealing to Daryl is its ability to do well during times when the general economy is in a depression or recession.

The stock price for Moon Shine was $14 on January 1, 20x0, $18 on December 31, 20x0, $15 for 12/31/x1, $22 for 12/31/x2, $32 for 12/31/x3 and $28 for 12/31/x4. The company does not pay a dividend. The standard deviation for their stock is 14%, beta is 1.25, and correlation coefficient is -0.30.

Finally Daryl met the management team at Pork, Byrd and Belly. In spite of the name, this was not an agricultural company, but a heavy construction company with major government contracts for roads and bridges. The company has had some very successful contracts in the past which have led to great growth, but their rate of growth has slowed a little in the last couple of years.

The stock price for Pork, Byrd and Belly was $10 on January 1, 20x0, $15 on December 31, 20x0, $25 for 12/31/x1, $30 for 12/31/x2, $28 for 12/31/x3 and $25 for 12/31/x4. In the year 20x0 they paid a dividend of $0.80, $0.90 in 20x1, $1.20 in 20x2, $0.50 in 20x3 and that amount again in 20x4. The standard deviation for their stock is 20%, beta is 1.05, and correlation coefficient is .45.

Since these are all small regional companies, Daryl uses the Russell 4000 index as a measure of the market standard. He likes to compare the performance of his companies against this index along with other criteria to determine if a company stock price offers a good value.

The index price for the Russell 4000 was 1200 on January 1, 20x0, 1400 on December 31, 20x0, 1800 for 12/31/x1, 1750 for 12/31/x2, 1600 for 12/31/x3 and 1700 for 12/31/x4. The standard deviation for the index is 5%, beta is 1.0, and correlation coefficient is 1.00. Currently the rate of return on a Treasury bill is 5.0%.

Required:

1. Compute the coefficient of variation for each stock plus the market for the 5 year period from 20x0 to 20x4.

In a test of the effectiveness of garlic for lowering​ cholesterol, 64 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes​ (before minus​ after) in their levels of LDL cholesterol​ (in mg/dL) have a mean of 0.2 and a standard deviation of 1.86. Use a 0.01 significance level to test the claim that with garlic​ treatment, the mean change in LDL cholesterol is greater than 0.What do the results suggest about the effectiveness of the garlic​ treatment? Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

The accompanying data table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Complete the questions below. LOADING... Click the icon to view the data table. Use the range rule of thumb to identify a range of values containing the usual numbers of girls in 10 births. The maximum usual value is 0.2. ​(Round to one decimal place as​ needed.)x P(x)

0 0.004

1 0.017

2 0.043

3 0.112

4 0.206

5 0.234

6 0.202

7 0.114

8 0.041

9 0.011

10 0.016

For each of the following subproblems:i. Plot the distribution you’re sampling from (e.g., ifXi∼Exp(λ), plot the exponentialdistribution with rateλ). See Lab 3 for a reminder on how to do this.ii. Generate a sample of sizen= 10 from the distribution, and find the sample mean.iii. Repeat step ii. 999 times (i.e.,k= 1000), and then plot a histogram of the samples.iv. Add a plot of the approximate normal density on top of the histogram.v. Repeat steps ii. – iv. with sample sizen= 100.

(a)Xiiid∼Uniform(−2,2)

(b)Xiiid∼Gamma(k= 2,λ= 0.5)

(c)Xiiid∼Poisson(λ= 1)

(d)Xiiid∼Geometric(p= 0.2)

Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a normal distribution with mean μ = 4 ml and standard deviation σ = 0.2 ml is a reasonable model for the distribution of the variable x = amount of red dye in the paint mixture. Use the normal distribution model to calculate the following probabilities. (Round your answers to four decimal places.)

(a) P(x < 4) =  

(b) P(x < 4.2)=  

(c) P(x ≤ 4.2) =

(d) P(3.6 < x < 4.2) =  

(e) P(x > 3.5) =  

(f) P(x > 3) =

*PLEASE SHOW WORK. THANK YOU!

An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 15% and a standard deviation of return of 25%. Stock B has an expected return of 12% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is 0.2. The risk-free rate of return is 1.5%.

A.)Approximately what is the proportion of the optimal risky portfolio that should be invested in Stock B?(HINT-0.636 IS NOT THE ANSWER-MARKET WRONG)

B.)What is the Expected Return on the Optimal Portfolio?

C.) What is the REWARD to VARIABILITY Ratio of the Optimal Portfolio?

Show where you input the numbers to follow the formula, thank you.

The question is to use Matlab to find the clamped cubic spline v(x) that interpolates a function f(x) that satisfies: f(0)=0, f(1)=0.5, f(2)=2, f(3)=1.5, f'(0)=0.2, f'(3)=-1 and then plot v(x).

This is my code so far:

x = [0 1 2 3];

y = [0 0.5 2 1.5];

cs = spline(x,[0 y 0]);

xx = linspace(0,3,101);

figure()

plot(x,y,'o',xx,ppval(cs,xx),'-');

IS THIS RIGHT? HOW CAN I GET MATLAB TO GIVE ME THE EQUATION OF v(x)?

1. For each of the following processes, a sample of size 500 is collected in order to estimate the process mean and variability. (30 points)

1. Indicate which measure of process capability (Cpvs.Cpk ) appears the more appropriate to use for each process and state why. (10 points)

For the Process A:

For the Process B:

2. Compute the appropriate measure of process capability for each process. (20 points)

Process A:

Process B:

4) A pediatrician wishes to recruit 4 couples, each of whom is expecting their first child, to participate in a new natural childbirth regimen. Let p = 0.2 represent the probability that a randomly selected couple agrees to participate.

a) What is the probability that 15 couples refuse to participate before 4 are found who agree to participate?

b) What is the probability that 12 couples refuse to participate before 4 are found who agree to participate?

c) What is the expected value of the total number of couples that must be asked to have 4 participating couples?

d) What is the variance of the total number of couples that must be asked to have 4 participating couples.