Following are the post-lab questions for the experiment: Magnetic Behavior and Electron Configuration of Compounds Version

1. Chromium, Cr, has 24 electrons. Write out the entire electron configuration for chromium using spdf notation.

2. How many unpaired electrons would you expect for chromium in [Cr(H2O)6] 3+? Is this a paramagnetic or diamagnetic material?

3. Cobalt, Co, has 27 electrons. Write out the entire electron configuration for cobalt using spdf notation.

4. How many unpaired electrons would you expect for manganese in KMnO4? Is this a paramagnetic or diamagnetic material?

5. This same experiment is performed on the international space station. What is the primary issue with performing this experiment in the absence of gravity? Design an experiment to compensate for this. As always, you do have duct tape.

Let vectors u and v form a basis in some plane, in each of the following cases determine if the vectors e1 and e2 for a basis in this plane:

a)e1=u+v e2=u-v b)e1=-u+2v e2=3u-6v

substantiate your decision

In each case below either show that the statement is True or give an example showing that it is False.

(V) If {x1, x2, . . . xk, xk+1, . . . xn} is a basis of R n and U = span{x1, . . . xk} and V = span{xk+1 . . . xn}, then U ∩ V = {0}.

Let U, V be iid Unif(0, 1) random variables, and set
M = max(U,V) and N = min (U,V)

(a) Find the conditional density of N given M = a for any value of a ∈ (0, 1).

(b) Find Cov(M, N).

Holiday meals from different traditions include seafood, ham, beef, vegetarian, turkey, or other fowl and various side dishes. A survey of US families revealed that 58% of all families eat turkey at holiday meals ("T"), 42% eat vegetarian dishes ("V"), and 19% have both turkey and vegetarian dishes to eat at holiday meals. A family is selected at random. (Drawing shaded Venn diagrams may help determine the probabilities in the questions.)

a) What is the probability that the selected family had vegetarian dishes or a turkey?

b)What is the probability that the selected family had neither vegetarian dishes nor turkey?

c)What is the probability that the selected family had turkey but no vegetarian dishes?

d)"Families having turkey are disjoint from the families having vegetarian dishes." This statement is:

-True because P(T and V) ? -P(T)×P(V)
- False because P(T and V) ? P(T)×P(V)
-True because P(T and V) ? 0
-False because P(T and V) ? 0

bash-3.2$ git init
Initialized empty Git repository in /Users/terry/Documents/Udel/teaching/275/275-Spring2018/gitPlay/.git/
bash-3.2$ git add *.txt
bash-3.2$ git commit -m "all"
[master (root-commit) f7a22b3] all
4 files changed, 27 insertions(+)
create mode 100644 dog.txt
create mode 100644 gitquiz.txt
create mode 100644 spam.txt
create mode 100644 spam2.txt
$ <edit spam.txt>
bash-3.2$ git add spam.txt
bash-3.2$ git commit -m "mod"
[master 8885fb1] mod
1 file changed, 2 insertions(+)
bash-3.2$ git branch feature
bash-3.2$ git checkout feature
Switched to branch 'feature'
bash-3.2$ cat >> spam2.txt
a new feature
bash-3.2$ git status
On branch feature
Changes not staged for commit:
(use "git add <file>..." to update what will be committed)
(use "git checkout -- <file>..." to discard changes in working directory)

   modified: spam2.txt

no changes added to commit (use "git add" and/or "git commit -a")
bash-3.2$ git commit -m "new feature to spam2"
On branch feature
Changes not staged for commit:
   modified: spam2.txt

no changes added to commit
bash-3.2$ git add spam2.txt
bash-3.2$ git commit -m "new feature to spam2"
[feature 3fbd9c3] new feature to spam2
1 file changed, 1 insertion(+)
bash-3.2$ git log --graph --all --simplify-by-decoration
* commit 3fbd9c356a36619a540920f8402a03f50d64f106 (HEAD -> feature)
| Author: Terry Harvey <[email protected]>
| Date: Mon Mar 19 10:25:30 2018 -0400
|
| new feature to spam2
|
* commit 8885fb16b61c8aeaf806bbbf3e8995f13f8f47e9 (master)
| Author: Terry Harvey <[email protected]>
| Date: Mon Mar 19 09:55:01 2018 -0400
|
| mod
|
* commit f7a22b3a9ebbd4dbc98ac9ac355b51022c6f2216
Author: Terry Harvey <[email protected]>
Date: Mon Mar 19 09:54:02 2018 -0400
  
all
bash-3.2$ cat spam2.txt
hooray for spam
second line
third line.
a feature
a new feature
bash-3.2$ git checkout master
Switched to branch 'master'
bash-3.2$ cat spam2.txt
hooray for spam
second line
third line.
a feature
bash-3.2$ ls
dog.txt       gitquiz.txt   spam.txt   spam2.txt
bash-3.2$ git rm spam2.txt
rm 'spam2.txt'
bash-3.2$ git commit -m "removed spam2.txt"
[master 4ee3d92] removed spam2.txt
1 file changed, 4 deletions(-)
delete mode 100644 spam2.txt
bash-3.2$ git checkout feature
Switched to branch 'feature'
bash-3.2$ ls

1. WHAT PRINTS HERE? Be sure you understand!

bash-3.2$ git checkout master
Switched to branch 'master'
bash-3.2$ ls

2. WHAT PRINTS HERE? Be sure you understand!

bash-3.2$ git tree //this is my alias for the log command above - put in your .gitconfig!
* commit 4ee3d92d15daa195bcdc89ccdc70b35d02981811 (HEAD -> master)
| Author: Terry Harvey <[email protected]>
| Date: Mon Mar 19 10:29:17 2018 -0400
|
| removed spam2.txt
|   
| * commit 3fbd9c356a36619a540920f8402a03f50d64f106 (feature)
|/ Author: Terry Harvey <[email protected]>
| Date: Mon Mar 19 10:25:30 2018 -0400
|   
| new feature to spam2
|
* commit f7a22b3a9ebbd4dbc98ac9ac355b51022c6f2216
Author: Terry Harvey <[email protected]>
Date: Mon Mar 19 09:54:02 2018 -0400
  
all

bash-3.2$ git checkout feature
Switched to branch 'feature'
bash-3.2$ git branch
* feature
master
bash-3.2$

3. What is HEAD?

4. What is master?

5. In this example, what is feature?

6. How would you take changes from a branch and apply them to master?

7. How would you remove a branch you no longer need?

bash-3.2$ git init
Initialized empty Git repository in /Users/terry/Documents/Udel/teaching/275/275-Spring2018/gitPlay/.git/
bash-3.2$ git add *.txt
bash-3.2$ git commit -m "all"
[master (root-commit) f7a22b3] all
4 files changed, 27 insertions(+)
create mode 100644 dog.txt
create mode 100644 gitquiz.txt
create mode 100644 spam.txt
create mode 100644 spam2.txt
$ <edit spam.txt>
bash-3.2$ git add spam.txt
bash-3.2$ git commit -m "mod"
[master 8885fb1] mod
1 file changed, 2 insertions(+)
bash-3.2$ git branch feature
bash-3.2$ git checkout feature
Switched to branch 'feature'
bash-3.2$ cat >> spam2.txt
a new feature
bash-3.2$ git status
On branch feature
Changes not staged for commit:
(use "git add <file>..." to update what will be committed)
(use "git checkout -- <file>..." to discard changes in working directory)

   modified: spam2.txt

no changes added to commit (use "git add" and/or "git commit -a")
bash-3.2$ git commit -m "new feature to spam2"
On branch feature
Changes not staged for commit:
   modified: spam2.txt

no changes added to commit
bash-3.2$ git add spam2.txt
bash-3.2$ git commit -m "new feature to spam2"
[feature 3fbd9c3] new feature to spam2
1 file changed, 1 insertion(+)
bash-3.2$ git log --graph --all --simplify-by-decoration
* commit 3fbd9c356a36619a540920f8402a03f50d64f106 (HEAD -> feature)
| Author: Terry Harvey <[email protected]>
| Date: Mon Mar 19 10:25:30 2018 -0400
|
| new feature to spam2
|
* commit 8885fb16b61c8aeaf806bbbf3e8995f13f8f47e9 (master)
| Author: Terry Harvey <[email protected]>
| Date: Mon Mar 19 09:55:01 2018 -0400
|
| mod
|
* commit f7a22b3a9ebbd4dbc98ac9ac355b51022c6f2216
Author: Terry Harvey <[email protected]>
Date: Mon Mar 19 09:54:02 2018 -0400
  
all
bash-3.2$ cat spam2.txt
hooray for spam
second line
third line.
a feature
a new feature
bash-3.2$ git checkout master
Switched to branch 'master'
bash-3.2$ cat spam2.txt
hooray for spam
second line
third line.
a feature
bash-3.2$ ls
dog.txt       gitquiz.txt   spam.txt   spam2.txt
bash-3.2$ git rm spam2.txt
rm 'spam2.txt'
bash-3.2$ git commit -m "removed spam2.txt"
[master 4ee3d92] removed spam2.txt
1 file changed, 4 deletions(-)
delete mode 100644 spam2.txt
bash-3.2$ git checkout feature
Switched to branch 'feature'
bash-3.2$ ls

1. WHAT PRINTS HERE? Be sure you understand!

bash-3.2$ git checkout master
Switched to branch 'master'
bash-3.2$ ls

2. WHAT PRINTS HERE? Be sure you understand!

bash-3.2$ git tree //this is my alias for the log command above - put in your .gitconfig!
* commit 4ee3d92d15daa195bcdc89ccdc70b35d02981811 (HEAD -> master)
| Author: Terry Harvey <[email protected]>
| Date: Mon Mar 19 10:29:17 2018 -0400
|
| removed spam2.txt
|   
| * commit 3fbd9c356a36619a540920f8402a03f50d64f106 (feature)
|/ Author: Terry Harvey <[email protected]>
| Date: Mon Mar 19 10:25:30 2018 -0400
|   
| new feature to spam2
|
* commit f7a22b3a9ebbd4dbc98ac9ac355b51022c6f2216
Author: Terry Harvey <[email protected]>
Date: Mon Mar 19 09:54:02 2018 -0400
  
all

bash-3.2$ git checkout feature
Switched to branch 'feature'
bash-3.2$ git branch
* feature
master
bash-3.2$

3. What is HEAD?

4. What is master?

5. In this example, what is feature?

6. How would you take changes from a branch and apply them to master?

7. How would you remove a branch you no longer need?

THREES ELECTRONICS COMPANY Threes Electronics is a mid-sized electronics manufacturer located in Santa Monica, California. The company president is Jack Tripper, who inherited the company. The company originally repaired radios and other household appliances when it was founded over 70 years ago. Over the years, the company has expanded, and it is now a reputable manufacturer of various specialty electronic items. One of the major revenue-producing items manufactured by Threes Electronic is a Personal Digital Assistant (PDA). Threes Electronics currently has one PDA model on the market and sales have been excellent. The PDA is a unique item in that it comes in a variety of tropical colors and is preprogrammed to play Jimmy Buffet music. However, as with any electronic item, technology changes rapidly, and the current PDA has limited features in comparison with newer models. Threes Electronic spent $750,000 to develop a prototype for a new PDA that has all the features of the existing one, but adds new features such as cell phone capability. The company has spent a further $200,000 for a marketing study to determine the expected sales figures for the new PDA. Threes Electronic can manufacture the new PDA for $86 each in variable costs. Fixed costs for the operation are estimated to run $3 million per year. The estimated sales volume is 70,000, 80,000, 100,000, 85,000, and 75,000 per each year for the next five years, respectively. The unit price of the new PDA will be $250. The necessary equipment can be purchased for $15 million and will be depreciated on a 7-year MACRS schedule. It is believed the value of the equipment in five years will be $3 million. Net working capital for the PDAs will be 20 percent of sales and will occur with the timing of the cash flows for the year (i.e., there is a no initial outlay for NWC). Changes in NWC will thus first occur in Year 1 with the first year’s sales. Threes Electronic has a 35 percent (federal & state) corporate tax rate. Threes Electronic plans to finance by a combination of 1/3 debt and 2/3 internal equity (i.e., retained earnings). The beta of the firm’s stock is 1.75. The firm uses a risk-free rate of 4% and the market risk premium of 7%. Threes has 15,000 9 percent semi-annual coupon bonds outstanding, $1,000 par value per bond, 15 years to maturity, selling for 108 percent of par. Threes Electronic can issue bonds for $5 ~ $6 million in the similar terms. Construct a project cash flow statement; estimate the cost of capital; and provide NPV, IRR, payback period (our target PB is 3 years) and profitability index of this project.

Using the data in the following table, answer parts (i) – (v).

1. Estimate the average return for each stock.   
2. Calculate the standard deviation of returns for Stocks X and Y.   
3. For a portfolio that is 75% weighted in Stock X, and 25% weighted in Stock Y, calculate the expected return of the portfolio.   
4. Calculate the standard deviation of your portfolio based on the weights of Stocks X and Y stated in part (iii).  
5. Suppose the correlation between Stocks X and Y has reduced to 0.35, does it increase or reduce the standard deviation of your portfolio based on the weights of Stocks X and Y stated in part (iii). Explain your answer.