Consider four nonstandard dice, whose sides are labeled as follows (the 6 sides on each die are equally likely).

A: 4, 4, 4, 4, 0, 0

B: 3, 3, 3, 3, 3, 3

C: 6, 6, 2, 2, 2, 2

D: 5, 5, 5, 1, 1, 1

These four dice are each rolled once. Let A be the result for die A, B be the result for die B, etc.

(a) Find P(A > B), P(B > C), P(C >D), and P(D > A).

(b) Is the event A > B independent of the event B > C? Is the event B > C independent of the event C >D? Explain.

MATLAB ONLY:

Write a user defined method MaxPath()

Find the maximum path sum in matrix. The maximum path is sum of all section from first to last
row where you can move only down or at a angle to left or right. You can start from any section
in first row of given matrix of P*Q.
Input: mat [] [] = 10 10 2 0 20 4
1 0 0 30 2 5
0 10 4 0 2 0
1 0 2 20 0 4
Output: 74
The maximum sum path is 20-30-4-20.
Input: mat [] [] = 1

QUESTION 1

1. What is the approximate radius of an oxygen nucleus with 8 protons and 8 neutrons?

   	1.	3.02 fm
   	2.	2.4 fm
   	3.	3.53 fm
   	4.	1.10 fm
   	5.	2.89 fm

1 points   

QUESTION 2

1. It is possible to tell α particles from β particles by placing the decaying atom

   in a magnetic field because

   	1.	α particles deflect in the magnetic field but β particles don't
   	2.	β particles deflect in the magnetic field but α particles don't
   	3.	α particles deflect in one direction and β particles in other.
   	4.	α and β particles both deflect in the samedirection but β particles deflect much more.
   	5.	α and β particles both deflect in the same direction but α particles deflect much more.

1 points   

QUESTION 3

1. In terms of the penetrating capabilities of the different types of radiation

   	1.	they all penetrate roughy the same amount of material
   	2.	γ rays can penetrate much deeper than α rays
   	3.	α rays can penetrate much deeper than γ rays
   	4.	β rays can penetrate much deeper than γ rays

1 points   

QUESTION 4

1. Particles which are acted on by the weak nuclear force but not the strong nuclear force are

   referred to as

   	1.	quarks
   	2.	hadrons
   	3.	mesons
   	4.	baryons
   	5.	leptons

1 points   

QUESTION 5

1. When a kilogram of a material has absorbed 0.01 Joules of energy from radiation, we say

   it has received

   	1.	1 rad
   	2.	1 roentgen
   	3.	1 RBE
   	4.	1 curie

1 points   

QUESTION 6

1. Which of the following particles will have a larger biological effect on a human assuming they all

   have the same energy?

   	1.	an X-ray
   	2.	a γ ray
   	3.	a slow neutron
   	4.	an α particle

1 points   

QUESTION 7

1. The purpose of the control rods in a nuclear reactor is to

   	1.	slow down the neutrons given off during fission
   	2.	speed up the neutrons given off during fission
   	3.	absorb the neutrons given off during fission
   	4.	absorb the protons given off during fission
   	5.	absorb the γ rays given off during fission

1 points   

QUESTION 8

1. The purpose of a moderator in a nuclear reactor is to

   	1.	slow down the neutrons given off during fission
   	2.	speed up the neutrons given off during fission
   	3.	absorb the neutrons given off during fission
   	4.	absorb the protons given off during fission
   	5.	absorb the γ rays given off during fission

1 points   

QUESTION 9

1. Which of the four fundamental forces has the largest interaction strength?

   	1.	gravitational force
   	2.	weak nuclear force
   	3.	strong nuclear force
   	4.	electro-magnetic force

1 points   

QUESTION 10

1. It is possible to imagine the human body by looking at the radiation produced from

   the annihilation of matter and antimatter. This is referred to as

   	1.	magnetic resonance imaging (MRI)
   	2.	X-rays
   	3.	computer aided tomography (CAT)
   	4.	positron emission tomography (PET)

1 points   

Trump De Drum Ltd (TDT) is a company in aquacultural industry specialised in farming of aquatic organisms. DT is considering opening a new farm in Sandy Bay. This project would involve the purchase of 13 hectares land at a price of $1,000,000 (Note that: The land is not subject to depreciation for accounting and tax purposes). In addition to that, the company will need to purchase eight special equiments which cost $125,000 each. The equipments are expected to be in use for 5 years and after that, they will be scrapped without any residual value. Each year, each of these equipments will incur $5,000 maintenance cost. It is assumed that the farm will first be used at the beginning of the next financial year: 1 July 2021.

Before starting this new operation, TDT will need to redevelop and renovate the warehouse at the farm. This is expected to cost $200,000. Assume that TDT is not able to claim any annual tax deduction for the capital expenditure to the renovation of the building until the business is sold.

Revenue projections from the farm for the next five years are as follows:

Operating variable costs associated with the new business including material costs and labour costs. Estimated material costs per tons in year 1 is $2,000 and this cost will increase by 3.5% every year. The farm will require about 6 workers working for 8 hours a day, 200 days per year. The pay rate is flat at $20/ hour including superannuation. Annual operating fixed costs associated with production (excluding depreciation) are $100,000. Existing administrative costs are $550,000 per annum. As a result of the new operation, these administrative costs will increase by 30%. The company is subject to a tax rate of 30% on its profits.

Meanwhile, TDT Ltd is currently financed by 60% of equity and 40% of debt. Company’s bond is traded at a price of $980. The bond has 10 year term, 8% coupon rate paid semi-annually and face value of $1,000. In addition, company’s equity has a beta of 1.2 while the risk-free rate in the market is 3% and market portfolio return is estimated to be 12%.

P. De Potato, the company CFO would like you to help him examine the viability of the project for the next five years, taking into account the projections of sales and operations costs prepared by company’s accountants.

Your tasks:

Based on the information in the case study, P. De Potato has asked you to write a report to TDT’s management advising them as to the best course of action regarding this project. Your report should address the following specific questions asked by management:
Do any 4 questions will be fine*******
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1. Calculate the Net present value (NPV) of the project, assuming that the initial investment could be sold at the end of the five years for $1 million. Briefly comment on your results and make appropriate remarks on the assumptions made for these calculations if necessary.
2. Estimate the Internal rate of return (IRR) of the project. Briefly comment on your results
3. Using sensitivity analysis, recalculate NPV using the scenario of
   1. A decrease in project sales by 10% annually.
   2. An increase of the sale price by 5% annually
   3. An increase of material costs change from 3.5% to 8% Briefly comment on your results.
4. In view of your answer to Point 4 to point 7 above, advise TDT’s management as to whether they should go ahead with the investment project. In your recommendations, you may wish to suggest possible refinements in the method used for evaluating this project.

Trump De Drum Ltd (TDT) is a company in aquacultural industry specialised in farming of aquatic organisms. DT is considering opening a new farm in Sandy Bay. This project would involve the purchase of 13 hectares land at a price of $1,000,000 (Note that: The land is not subject to depreciation for accounting and tax purposes). In addition to that, the company will need to purchase eight special equiments which cost $125,000 each. The equipments are expected to be in use for 5 years and after that, they will be scrapped without any residual value. Each year, each of these equipments will incur $5,000 maintenance cost. It is assumed that the farm will first be used at the beginning of the next financial year: 1 July 2021.

Before starting this new operation, TDT will need to redevelop and renovate the warehouse at the farm. This is expected to cost $200,000. Assume that TDT is not able to claim any annual tax deduction for the capital expenditure to the renovation of the building until the business is sold.

Revenue projections from the farm for the next five years are as follows:

Year 1

Year 2

Year 3

Year 4

Year 5

Beginning

1/7/2021

1/7/2022

1/7/2023

1/7/2024

1/7/2025

Ending

30/6/2022

30/6/2023

30/6/2024

30/6/2025

30/6/2026

Production quantity (tons)

120

140

170

185

185

Price (per tons)

$9,000

$9,150

$9,250

$9,300

$9,350

Operating variable costs associated with the new business including material costs and labour costs. Estimated material costs per tons in year 1 is $2,000 and this cost will increase by 3.5% every year. The farm will require about 6 workers working for 8 hours a day, 200 days per year. The pay rate is flat at $20/ hour including superannuation. Annual operating fixed costs associated with production (excluding depreciation) are $100,000. Existing administrative costs are $550,000 per annum. As a result of the new operation, these administrative costs will increase by 30%. The company is subject to a tax rate of 30% on its profits.

Meanwhile, TDT Ltd is currently financed by 60% of equity and 40% of debt. Company’s bond is traded at a price of $980. The bond has 10 year term, 8% coupon rate paid semi-annually and face value of $1,000. In addition, company’s equity has a beta of 1.2 while the risk-free rate in the market is 3% and market portfolio return is estimated to be 12%.

P. De Potato, the company CFO would like you to help him examine the viability of the project for the next five years, taking into account the projections of sales and operations costs prepared by company’s accountants.

Your tasks:

Based on the information in the case study, P. De Potato has asked you to write a report to TDT’s management advising them as to the best course of action regarding this project. Your report should address the following specific questions asked by management:
Do any 4 questions will be fine*******
other value can find here
https://che.gg/3exktro

Calculate the Net present value (NPV) of the project, assuming that the initial investment could be sold at the end of the five years for $1 million. Briefly comment on your results and make appropriate remarks on the assumptions made for these calculations if necessary.
Estimate the Internal rate of return (IRR) of the project. Briefly comment on your results
Using sensitivity analysis, recalculate NPV using the scenario of
A decrease in project sales by 10% annually.
An increase of the sale price by 5% annually
An increase of material costs change from 3.5% to 8% Briefly comment on your results.
In view of your answer to Point 4 to point 7 above, advise TDT’s management as to whether they should go ahead with the investment project. In your recommendations, you may wish to suggest possible refinements in the method used for evaluating this project.

Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication. Similarities and Differences in a Random Sample of 375 Married Couples Number of Similar Preferences Number of Married Couples All four 29

Three 127

Two 111

One 67

None 41

Suppose that a married couple is selected at random. (a) Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common. (For each answer, enter a number. Enter your answers to 2 decimal places.) 0 1 2 3 4

(b) Do the probabilities add up to 1? Why should they? Yes, because they do not cover the entire sample space. No, because they do not cover the entire sample space. Yes, because they cover the entire sample space. No, because they cover the entire sample space.

c. What is the sample space in this problem?

0, 1, 2, 3 personality preferences in common

1, 2, 3, 4 personality preferences in common

0, 1, 2, 3, 4, 5 personality preferences in common

0, 1, 2, 3, 4 personality preferences in common

Calculate the monthly returns for 08/01/2015 – 08/31/2019 period for

(iii) Chevron:

(iv) Intel:

(v) Tesla:

Ten observations on the response variable y associated with two regressor variables x1 and x2 are given in the following table. The model fitted to these observations is yi = β 0 + β 1x1i + β 2x2i + εi , i = 1, …, n , (3) where ε’s are identically and independently distributed as a normal random variable with mean zero and a known variance σ ^2 = 3. Observation # y x1 x2 1 7 9 1 2 8 6 1 3 5 7 1 4 3 8 1 5 2 5 1 6 10 7 -1 7 9 6 -1 8 10 3 -1 9 9 4 -1 10 8 4 -1 a) Test the null hypothesis that there is no difference between the y-intercept for x2 = 1 and the y-intercept for x2 = -1 at a statistical significance level of 0.05. b) Now fit Model (4) to the 10 observations.

The given stemplot shows the percentages of adults aged 18–34 who were considered minorities in each of the states and the District of Columbia.

(a) Make another stemplot of this data by splitting the stems, placing leaves 00 to 44 on the first stem and leaves 55 to 99 on the second stem of the same value.

(b) Create a histogram that uses class intervals that give the same pattern as the stemplot you created with the split stems. It might be a good idea to do this by hand. If you use software, you may have to adjust the settings in order to get a histogram that matches the stemplot exactly.

A survey of MBA graduates of a business school obtained data on the first-year salary after graduation and years of work experience prior to obtaining their MBA. The data are given in excel.

Q: Write out the assumptions of simple linear regression. Use the output to validate assumptions or indicate if an assumption is not met.