4. Recall the cookie problem from lecture. We have two bowls, Bowl 1 and Bowl 2. Bowl 1 contains 25% chocolate and 75% vanilla cookies; Bowl 2 has 50% of each. For this problem, assume each bowl is large enough that drawing a single cookie does not appreciably alter this ratio. Suppose we draw two cookies from the bowl and they are both chocolate. Calculate the posterior probabilities of the two bowls in two ways: (a) by treating the two cookies as one simultaneous piece of evidence (b) by updating the prior probabilities once using the rst chocolate cookie, and using the posterior probabilities as prior probabilities in a second update.
5. Suppose instead we draw two cookies; one is chocolate and the other is vanilla. Calculate the posterior probabilities. Does it matter which cookie we drew rst? Why or why not?
please answer this two question
In: Statistics and Probability
QUESTION 6
What is the tax treatment for rents received for a home rented out for less than 14 days?
|
a. |
Taxed at ordinary rates |
|
|
b. |
Tax Exempt |
|
|
c. |
Taxed at Capital Gains Rates |
|
|
d. |
Tax at the property tax rates for the locality. |
5 points
QUESTION 7
Assume you have a taxpayer, who wants to sell their home and they have heard they don’t have to pay any tax on the sale. You tell her there are conditions to gain exclusion. Which of the following are requirements for the §121 gain exclusion? (Choose only one, best answer)
|
a. |
An ownership test of 5 out of the last 8 years and use test of 2 of the last 5 years. |
|
|
b. |
An ownership and use test of 5 out of the last 8 years. |
|
|
c. |
A use test of 5 out of the last 8 years and ownership test of 2 of the last 5 years. |
|
|
d. |
An ownership and use test of 2 out of the last 5 years. |
QUESTION 9
Assume your client Peace and Love, Inc. has purchased the following assets listed below, when they moved into their new office space in 2020. The office building was purchased in 2017 and placed into service on Dec 31, 2017. Also assume they have taxable income of $350,000 for the year and charitable deductions of $50,000 (This client files a 1040 Tax Return).
|
Asset |
Purchase Date |
Cost |
|
Furniture – 7 Year |
Nov 20 |
$180,000 |
|
Office Equipment – 7 Year |
Apr 1 |
30,000 |
|
Construction Truck – 5 Year |
May 30 |
80,000 |
|
Office Leasehold Improvements – 39 Year |
Jan 15 |
500,000 |
|
Total |
$790,000 |
Assume the income listed above and deductions are all from the taxpayers only business activity. What is the maximum §179 Deduction allowed by the client in 2020?
|
210,000 |
||
|
790,000 |
||
|
290,000 |
||
|
300,000 |
5 points
QUESTION 10
Assume your client Peace and Love, Inc. has purchased the following assets listed below, when they moved into their new office space in 2020. The office building was purchased in 2017 and placed into service on Dec 31, 2017. Also assume they have taxable income of $350,000 for the year and charitable deductions of $50,000 (This client files a 1040 Tax Return).
|
Asset |
Purchase Date |
Cost |
|
Furniture – 7 Year |
Nov 20 |
$180,000 |
|
Office Equipment – 7 Year |
Apr 1 |
30,000 |
|
Construction Truck – 5 Year |
May 30 |
80,000 |
|
Office Leasehold Improvements – 39 Year |
Jan 15 |
500,000 |
|
Total |
$790,000 |
What convention will be used for the property placed into service in 2020?
|
a. |
MQ |
|
|
b. |
MM |
|
|
c. |
HY |
|
|
d. |
MY |
In: Accounting
1. A card is drawn at random from an ordinary deck of
52 playing cards. Describe the sample space if consideration of
suits (a) is not, (b) is, taken into account.
2. Answer for b: both a king and a club = king of club.
3. A fair die is tossed twice. Find the probability of getting a 4,
5, or 6 on the first toss and a 1, 2, 3, or 4 on the second
toss.
4. Find the probability of not getting a 7 or 11 total on either of
two tosses of a pair of fair dice.
5. Two cards are drawn from a well-shuffled ordinary deck of 52
cards. Find the probability that they are both aces if the first
card is (a) replaced, (b) not replaced.
6 Find the probability of a 4 turning up at least once in two
tosses of a fair die.
7. One bag contains 4 white balls and 2 black balls; another
contains 3 white balls and 5 black balls. If one ball is drawn from
each bag, find the probability that (a) both are white, (b) both
are black,(c) one is white and one is black.
8. Box I contains 3 red and 2 blue marbles while Box II contains 2
red and 8 blue marbles. A fair coin is tossed. If the coin turns up
heads, a marble is chosen from Box I; if it turns up tails, a
marble is chosen from Box II. Find the probability that a red
marble is chosen.
9. A committee of 3 members is to be formed consisting of one
representative each from labor, management, and the public. If
there are 3 possible representatives from labor,2 from management,
and 4 from the public, determine how many different committees can
be formed
10. In how many ways can 5 differently colored marbles be arranged
in a row?
11. In how many ways can 10 people be seated on a bench if only 4
seats are available?
12.. It is required to seat 5 men and 4 women in a row so that the
women occupy the even places. How many such arrangements are
possible?
13. How many 4-digit numbers can be formed with the 10 digits
0,1,2,3,. . . ,9 if (a) repetitions are allowed, (b) repetitions
are not allowed, (c) the last digit must be zero and repetitions
are not allowed?
14. Four different mathematics books, six different physics books,
and two different chemistry books are to be arranged on a shelf.
How many different arrangements are possible if (a) the books in
each particular subject must all stand together, (b) only the
mathematics books must stand together?
15. Five red marbles, two white marbles, and three blue marbles are
arranged in a row. If all the marbles of the same color are not
distinguishable from each other, how many different arrangements
are possible?
16. In how many ways can 7 people be seated at a round table if (a)
they can sit anywhere,(b) 2 particular people must not sit next to
each other?
17. In how many ways can 10 objects be split into two groups
containing 4 and 6 objects, respectively?
18. In how many ways can a committee of 5 people be chosen out of 9
people?
19. Out of 5 mathematicians and 7 physicists, a committee
consisting of 2 mathematicians and 3 physicists is to be formed. In
how many ways can this be done if (a) any mathematician and any
physicist can be included, (b) one particular physicist must be on
the committee, (c) two particular mathematicians cannot be on the
committee?
20. How many different salads can be made from lettuce, escarole,
endive, watercress, and chicory?
21. From 7 consonants and 5 vowels,how many words can be formed
consisting of 4 different consonants and 3 different vowels? The
words need not have meaning.
22. In the game of poker5 cards are drawn from a pack of 52
well-shuffled cards. Find the probability that (a) 4 are aces, (b)
4 are aces and 1 is a king, (c) 3 are tens and 2 are jacks, (d) a
nine, ten, jack, queen, king are obtained in any order, (e) 3 are
of any one suit and 2 are of another, (f) at least 1 ace is
obtained.
23. Determine the probability of three 6s in 5 tosses of a fair
die.
24. A shelf has 6 mathematics books and 4 physics books. Find the
probability that 3 particular mathematics books will be
together.
25. A and B play 12 games of chess of which 6 are won by A,4 are
won by B,and 2 end in a draw. They agree to play a tournament
consisting of 3 games. Find the probability that (a) A wins all 3
games, (b) 2 games end in a draw, (c) A and B win alternately, (d)
B wins at least 1 game.
26. A and B play a game in which they alternately toss a pair of
dice. The one who is first to get a total of 7 wins the game. Find
the probability that (a) the one who tosses first will win the
game, (b) the one who tosses second will win the game.
27. A machine produces a total of 12,000 bolts a day, which are on
the average 3% defective. Find the probability that out of 600
bolts chosen at random, 12 will be defective.
28. The probabilities that a husband and wife will be alive 20
years from now are given by 0.8 and 0.9, respectively. Find the
probability that in 20 years (a) both, (b) neither, (c) at least
one, will be alive.
In: Statistics and Probability
Q3. Spot rate, forward rate, and yield to maturity One year zero priced at 5% yield. Two year 6% coupon bond priced at par. Three year 7% coupon par priced at par.
a. what is one year, two year AND three year spot rates (ie s1 s2 s3)?
b. what is the 1 year and 2 year forward rate (ie f12 f23)?
c. How much should a THREE year 10% coupon bond with face value of $1,000 be price at?
d. What is the yield to maturity for bond in part 3c (4 points)?
4. Mortgage Pricing A 30Y fixed rate mortgage is issued at 6% coupon rate. The loan fully amortizes over 30 year period. Expected payoff time is 8 Years when initially issued. Assuming $1M in loan balance.
a. Price the loan today at 5%, 6%, and 7% market yield, assuming loan termination term stays constant with interest rate (96 months at 5%; 96 months at 6%, and 96 months @ 7% ).
b. calculate numerical duration and convexity at 6% market interest rate based on pricing from
4a c. Price the loan today at 5%, 6%, and 7% yield, assuming loan termination term changes with interest rate (60 months at 5%; 120 months at 6%, and extends to 120 months @ 7% ).
b. calculate numerical duration and convexity at 6% market interest rate based on pricing from 4a
In: Finance
7
(a) Distinguish/Define the following Barriers to International Trade Tariff-Barrier: _____ Non-Tariff Barrier (NTB): ______ (b) True/False? _____ The objectives of both Tariff- barrier & Non-tariff barrier are the same as they both help to positively manage international trade and global growth. (c) What are the 2 countries that have recently engaged in trade wars using Tariffs? ________________ and ______________
8
Match the following definitions with the 3 Philosophical Principles of Ethics Write A,B or C) : (A) Imperative Principle; (B) Generalization Argument; (C) Utilitarian Principle: _______Do what is right but filter action by considering consequences. _______Do What is Right ________Do what produces the Greatest Result.
9 Match 2 of the following with either: (A) INTEGRITY or (B) ETHICS (C) VALUES _____Individual values pertaining to human behavior regarding What is Right or Wrong. _____A person’s commitment and principles about honesty and sound moral character..
In: Economics
In: Accounting
|
Case |
Y |
X1 |
X2 |
X3 |
X4 |
X5 |
X6 |
|
1 |
43 |
45 |
92 |
61 |
39 |
30 |
51 |
|
2 |
63 |
47 |
73 |
63 |
54 |
51 |
64 |
|
3 |
71 |
48 |
86 |
76 |
69 |
68 |
70 |
|
4 |
61 |
35 |
84 |
54 |
47 |
45 |
63 |
|
5 |
81 |
47 |
83 |
71 |
66 |
56 |
78 |
|
6 |
43 |
34 |
49 |
54 |
44 |
49 |
55 |
|
7 |
58 |
35 |
68 |
66 |
56 |
42 |
67 |
|
8 |
74 |
41 |
66 |
70 |
53 |
50 |
75 |
|
9 |
75 |
31 |
83 |
71 |
65 |
72 |
82 |
|
10 |
70 |
41 |
80 |
62 |
45 |
45 |
61 |
|
11 |
67 |
34 |
67 |
58 |
56 |
53 |
53 |
|
12 |
70 |
41 |
74 |
59 |
37 |
47 |
60 |
|
13 |
72 |
25 |
63 |
55 |
40 |
57 |
62 |
|
14 |
71 |
35 |
77 |
59 |
43 |
83 |
83 |
|
15 |
80 |
46 |
77 |
79 |
70 |
54 |
77 |
|
16 |
84 |
36 |
54 |
60 |
70 |
50 |
90 |
|
17 |
77 |
63 |
79 |
79 |
67 |
64 |
85 |
|
18 |
68 |
60 |
80 |
55 |
73 |
65 |
60 |
|
19 |
68 |
46 |
85 |
75 |
55 |
46 |
70 |
|
20 |
53 |
52 |
78 |
64 |
52 |
68 |
58 |
Consider the following data:
1. What is the regression equation? (Perform a Multiple Regression Analysis and Paste the table in the first answer box.)
2. State the hypotheses to test for the significance of the independent factors.
3. Which independent factors are significant at alpha= 0.05? Explain.
4. State the hypotheses to test for the significance of the regression equation. Is the regression equation significant at alpha=0.05? Explain.
5. How much of the variability in Y is explained by your model? Explain.
6. What tools would you use to check if the model has multicollinearity problems?
7. Does this model have multicollinearity problems? Explain.
8. If you were to propose a simplified model, eliminating some variables, what would it be? Why?
9. What tools would you use to check if the model assumptions are met?
10. Does this model meet the assumptions? Explain.
In: Statistics and Probability
Python:
Lo Shu Magic Square
The Lo Shu Magic Square is a grid with 3 rows and 3 columns, shown in figures below. The Lo Shu Magic Square has the following properties:
The grid contains the numbers 1 through 9 exactly.
The sum of each row, each column, and each diagonal all add up to the same number. This is shown in Figure B.
In a program you can stimulate a magic square using a two-dimensional list. Write a function that accepts a two-dimensional list as an argument and determines whether the list is a Lo Shu Magic Square. Test the function in a program.
Figure A
|
4 |
9 |
2 |
|
3 |
5 |
7 |
|
8 |
1 |
6 |
Figure B
|
4 |
9 |
2 |
|
3 |
5 |
7 |
|
8 |
1 |
6 |
In: Computer Science
Exercise 3
The data in the table represent the "Exam Scores" for two random samples of students. The first group of = 6 students were under active-learning course, and the second group of = 6 students were under traditional lecturing. Note that the standard deviations in the Active group is = 3.43 and in the Traditional group is = 3.03.
|
Active learning |
Traditional learning |
|
0 |
7 |
|
5 |
0 |
|
7 |
8 |
|
8 |
2 |
|
0 |
4 |
|
3 |
3 |
Please answer the following questions underneath each question.
1. Which test is appropriate to compare the Exam-Scores in the two groups of students?
Answer:
2. Conduct the steps of this test
(please enumerate and write all the steps of your answer below)
Step 1:
3. State your conclusion in the context of this study
In: Statistics and Probability
Exercise 3
The data in the table represent the "Exam Scores" for two random samples of students. The first group of n1 = 6 students were under active-learning course, and the second group of n2 = 6 students were under traditional lecturing. Note that the standard deviations in the Active group is s1= 3.43 and in the Traditional group is s2 = 3.03.
|
Active learning |
Traditional learning |
|
0 |
7 |
|
5 |
0 |
|
7 |
8 |
|
8 |
2 |
|
0 |
4 |
|
3 |
3 |
Please answer the following questions underneath each question.
1. Which test is appropriate to compare the Exam-Scores in the two groups of students?
Answer:
2. Conduct the steps of this test
(please enumerate and write all the steps of your answer below)
Step 1:
3. State your conclusion in the context of this study
In: Statistics and Probability