On February 24^th, 2020, MU University Board of Visitors announced that Dr.Washington was selected as the university’s eighth president. In a Washington Post article, Dr. Washington mentioned that he was a first-generation college student. It is known that 39% of MU students are the first in their families to attend college. A random sample of ten STAT 250 students were asked the question, “Are you a first-generation college student?”

1. Check if this situation fits the binomial setting. Write four complete sentences addressing each requirement in one sentence each.

a. Assuming this situation is a binomial experiment, build the probability distribution in table form.  use the binomial calculator and calculate the probability of each of the values of the random variable from X = 0 to X = 10. present this table horizontally or vertically and leave the probabilities unrounded.

b. Calculate the probability that exactly four of the students in this sample are first-generation college students using the binomial calculator. Then, write one sentence to interpret the probability in context of the question.

c. Calculate the probability that at least two students in this sample are first-generation college students using the probability distribution table you created in (a). Show your work “by hand.” Then, verify your answer using the binomial calculator.

d. Calculate the probability that between four and seven (inclusive) of the students in this sample are first-generation college students the binomial calculator graph and include this image with values.

e. What is the average number of students you expect to respond “yes” to being a first-generation student? To answer this question, calculate the mean and standard deviation of this probability distribution. Show your work using the binomial mean and binomial standard deviation formulas and provide your answers. Round to two decimal place when necessary.

f. Imagine you repeated this sample of ten students 10,000 times. Produce a properly titled and labeled relative frequency bar plot.

g. Compare the height of the bar above four with your answer to part (b) and identify which type of probability each value is.

Researchers claim that women speak significantly more words per day than men. One estimate is that a woman uses about 20,000 words per day while a man uses about 7,000 . To investigate such claims, one study used a special device to record the conversations of male and female university students over a four‑day period. From these recordings, the daily word count of the 2020 men in the study was determined. The table contains their daily word counts.

(a) Use the software of your choice to make a histogram of the data. What value should we remove from the data to make it reasonable to use the t procedures (assume these men are an SRS of all male students at this university)?

value to remove:

(b) With this value removed, carry out a test of significance to determine if the mean number of words per day of men at this university differs from 7000. (If you're using CrunchIt for your calculations, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)

Choose the correct hypotheses to test.

H0:μ=7000 versus H0:μ>7000

H0:μ≠7000H0 versus H0:μ=7000H0

H0:μ<7000H0 versus H0:μ≠7000H0

H0:μ=7000H0 versus H0:μ≠7000H0

With the value removed, find ¯x . (Enter your answer rounded to two decimal places.)

x¯=

With the value removed, find s . (Enter your answer rounded to three decimal places.)

s=

With the value removed, find t . (Enter your answer rounded to three decimal places.)

t=

Using the software of your choice, find the P‑value. (Enter your answer rounded to four decimal places.)

P=

What conclusion can we make from this data? Choose the correct answer.

A.There is no evidence that the mean number of words per day of men at this university differs from 7000 The sample mean indicates they speak less than 7000 words per day.

B.There is overwhelming evidence that the mean number of words per day of men at this university differs from 7000The sample mean indicates they speak more than 7000 words per day.

C.There is overwhelming evidence that the mean number of words per day of men at this university differs from 7000The sample mean indicates they speak less than 7000 words per day.

D.There is no evidence that the mean number of words per day of men at this university differs from 7000The sample mean indicates they speak more than 7000 words per day.

according to the US census bureau, the population of the US seniors65 and older, in the year 2004 was approximately 36,300,000 people. In the year 2010, it was 40,267,984 people. the senior population was growing at an approximately constant rate during this period.

(a)use this information to express the US senior population as a function of time since the year 2000.

(b) what is slope of your function? what does this mean in the context?

(c) what would this model indicate that the US population of seniors was in the year 2000? ( The actual population in that year was approximately 34,991,753)

(d) what does this model predict the US population of seniors to be for the 2020 census? Do you think this will be an overestimate or underestimate and why?

(e) when does your model predict the US population of senior to be 45,500,000 people?

Suppose you travel in a time machine to mid-2022 and you discover that the US economy has recovered from the COVID-19 pandemic, the US debt has reached $25 Trillion and that the Federal Reserve's balance sheet, thanks to 2020's quantitative easing has swelled to $7 Trillion. The economy has normalized and Trump's new Fed Chair is Judy Shelton. Further suppose that interest rates have normalized the economic growth is moderate and sustainable, and the CPI hovers around 2%. And, the US budget appears to be approximately balanced (i.e. a very small surplus or deficit) for the first time in many many years.

Considering stable and favorable economic conditions, the Federal Reserve appears poised to unwind their balance sheet with a goal of reducing it to $3 Trillion over a period of 24 months. Let us call this policy action "quantitative unwinding"

QUESTION: Ceterus paribus, what effect would the "quantitative unwinding" have on interest rates in the economy for from mid-2022 to mid-2024. Please support your answer with reasoning based on the principles of bond supply and demand and/or the loanable funds framework.

1.Logical equivalence of two English statements.

Define the following propositions:

• j: Sally got the job.
• l: Sally was late for her interview
• r: Sally updated her resume.

Express each pair of sentences using a logical expression. Then prove whether the two expressions are logically equivalent.

(a)

If Sally did not get the job, then she was late for interview or did not update her resume.
If Sally updated her resume and was not late for her interview, then she got the job.

(b)

If Sally got the job then she was not late for her interview.
If Sally did not get the job, then she was late for her interview.

(c)

If Sally updated her resume or she was not late for her interview, then she got the job.
If Sally got the job, then she updated her resume and was not late for her interview.

can you please provide a truth table for each?

On January 1, 2020, Blossom Company makes the two following acquisitions.

The company has to pay 12% interest for funds from its bank.

A) 1.

2.

B) 1.

2.

You are 30 years old today and are considering studying for an MBA. You have just received your annual salary of $50,000 which you expect will grow by 3% per year. MBA’s typically earn $80,000 upon graduation with salaries growing by 4% per year. The MBA program you’re considering is a full-time, 2-year program that costs $30,000 per year, payable at the end of each study year. You want to retire on your 65^th birthday. The relevant discount rate is 8%. Is it worthwhile for you to quit your job in order to earn an MBA? (Ignoring taxes.)

Use Excel formulas.

The given data represent the total compensation for 10 randomly selected CEOs and their​ company's stock performance in 2009. Analysis of this data reveals a correlation coefficient of r=-0.2000. What would be the predicted stock return for a company whose CEO made​ $15 million? What would be the predicted stock return for a company whose CEO made​ $25 million?

Compensation ($ millions)   Stock Return (%)
26.81 6.16
12.66 29.92
19.14 31.49
13.11 79.34
11.99 -8.35
11.41 2.22
26.23 4.08
14.61 10.81
17.12 4.13
14.18 11.88

What would be the predicted stock return for a company whose CEO made​ $15 million? _________​% ​(Type an integer or decimal rounded to one decimal place as​ needed.)

Samuel company, a toy retailer, is publicly listed in Hong Kong. The company is thinking of investing in natural gas wells in Russia. This would be a five-year project. The CEO of the company has employed you as a financial manager for this investment project. Explain to the CEO the major considerations, methods and challenges in determining the required rate of return for this project. Explain if there would be any difference in the estimation of required rate of return for a private firm or a publicly traded firm. Explain also whether it is important to consider the issue of operating leverage in analysing this project. The CEO says “ The cost of capital depends on the source of the money, not the risk of the project.” Do you agree? Explain and illustrate your explanation with example. (limit your answer to 450 words)

Below are Sullivan Corp.'s comparative balance sheet accounts at December 31, 2020 and 2019,

Additional information:

• On December 31, 2019, Sullivan acquired 25% of Myers Co.'s common stock for $275,000. On that date, the carrying value of Myers's assets and liabilities, which approximated their fair values, was $1,100,000. Myers reported income of $140,000 for the year ended December 31, 2020. No dividend was paid on Myers's common stock during the year.
• During 2020, Sullivan loaned $300,000 to TLC Co., an unrelated company. TLC made the first semiannual principal repayment of $50,000, plus interest at 10%, on December 31, 2020.
• On 1/2/2020, Sullivan sold equipment costing $60,000 (adj basis $38,000) for $40,000 cash.
• On December 31, 2020, Sullivan entered into a capital lease for an office building. The present value of the annual rental payments is $400,000, which equals the fair value of the building. Sullivan made the first rental payment of $60,000 when due on January 2, 2021.
• Net income for 2020 was $370,000.
• Sullivan declared and paid the following cash dividends for 2020 and 2019.

2020                 2019

$80,000             $100,000

Declared           12/15/2020                  12/15/2019

Paid                     2/28/2021                     2/28/2020

Required: Prepare a statement of cash flows for Sullivan Corp. for the year ended December 31, 2020, using the indirect method.