You have a portfolio with a standard deviation of 30 % and an expected return of 18 %. You are considering adding one of the two stocks in the following table. If after adding the stock you will have 30 % of your money in the new stock and 70 % of your money in your existing​ portfolio, which one should you​ add?

Standard deviation of the portfolio with stock A is __%? (Round to two decimal places)

Standard deviation of the portfolio with stock B is __%? (Round to two decimal places)

Which stock would you add to your portfolio?

Given that Buffer A contains 200 ml of 0.05 M HOCl and 400 ml 0.03 M NaOCl, calculate the pH of the buffer solution, the pH of the solution after adding 10 mL of 0.5 M HCl, and the pH of the solution after adding 20 mL of 0.4 M NaOH.

Given that Buffer B contains 200 mL 0.5 HOCl and 400 mL 0.3 M NAOCl, calculate the pH of the buffer solution, the pH of the solution after adding 10 mL of 0.5 M HCl, and the pH of the solution after adding 20 mL of 0.4 M NaOH.

Which buffer will resist pH changes better?

QUESTION 5

If the flow hydrograph as listed in the Table Q5 passes through a stream reach from A to B, for which K = 8.0 hr and x = 0.3

1. Determine the peak outflow discharge at B. At t=0, the outflow discharge is 40 m³/s
2. Based on the inflow and outflow hydrograph, discuss the time lag required for the peak flood to reach the downstream area. Comment on the attenuation achieved.

Table Q5

An investor purchased 550 shares of stock A at $22.50 per share and 1,050 shares of stock B at $30.50 per share one year ago. Stock A and stock B paid quarterly dividends of $2.50 per share and $2.00 per share, respectively, during the year. One year later, the investor sold both stocks at $30.50 per share. The correlation coefficient (ρ_AB) is 0.3 and the standard deviations of stock A and stock B are 20.5 percent and 15.5 percent, respectively.

Calculate the standard deviation of the portfolio. (Round intermediate calculations to 4 decimal places, e.g. 15.2512 and the final answer to 2 decimal places, e.g. 15.25%.)

1. A stock portfolio has an expected return of 12% and a standard deviation of 20%. A bond portfolio has an expected return of 6% and a standard deviation of 9%. The two portfolios have a correlation coefficient of 0.3. T-Bills have an expected return of 2%. Your coefficient of risk aversion is 7. (15 points)

1. What are the weights of the minimum variance portfolio that can be formed between the two portfolios if they are the only risky assets being considered?

2. What is the expected return and standard deviation of the minimum variance portfolio?

3. How much should you allocate between T-Bills and the risky portfolio?

4. What is the expected return and standard deviation of your complete portfolio?

use r programming, details on the codes please.

Consider an urn with 10 balls inside, 7 of which are red and 3 of which are green. Select 3 balls successively from the urn. Let A = {1 st ball is red}, B = {2 nd ball is red}, and C = {3 rd ball is red}. Then P(all 3 balls are red) = P(A ∩ B ∩ C)

     a) Calculate the Probability with R? (1)

     b) Also, what is the probability of observing red, then green, then red? (1)

Let us roll a 4-sided die three times. a)Let us define the random variable U = X1 − X2 + X3. What is the probability that U > 6. (1) b) Also, if A = X1+X2+X3, What is the probability of A > 9.(1)

3. Randomized Controlled Trials are a type of medical experiment, where the eligible participants are randomly assigned (allocated) to one of the two (or more) branches of the study. A randomized controlled trial is considered the gold standard of clinical trials. In these studies, randomization helps to control for confounding factors, and evenly distribute prognostic factors across groups. This is somewhat like a loaded dice experiment.

            Let’s create an “unfair” dice that has a 0.35 probability of resulting in a 6, and a    probability of 0.13 for each of the other outcome.

Hint: Use the sample command.

a) Simulate a sample of 10 trials of throwing the dice. (1)

b) How many 6’s do you get count using R. (1)

Write a function cancerservival where the probability of cure, recurrence, metastasis and death are (0.3, 0.3, 0.25 and 0.15 respectively). (2)
a) Use the function to simulate the results of 100 cancer occurrences. (1)

b) Report the number of patients cured. (1)

Question 3: Please create a statement of cash flow with indirect method- Please provide answers to each category and a one paragraph analysis of the cash flow using the indirect method.

Statement of Cash Flow with Indirect method

Instructions:You need to show your clear calculation to support each statement provide a paragraph of interpretation related to the result of your analysis on each statement.

Comparative Analysis for balance sheet:

Use the CO2 data and via Multiple regression select the two variables that predict the CO2 level with the best P-value. Make another table with these two variables and answer the questions. Numerical answers are rounded so choose the answer that matches the best:

Hour CO Traffic Wind

1 2.4 50 -0.2

2 1.7 26 0.0

3 1.4 16 0.0

4 1.2 10 0.0

5 1.2 12 0.1

6 2.0 41 -0.1

7 3.4 157 -0.1

8 5.8 276 -0.2

9 6.8 282 0.2

10 6.6 242 1.0

11 6.3 200 2.3

12 5.8 186 3.8

13 5.5 179 4.6

14 5.9  178 5.4

15 6.8 203 5.9

16 7.0 264 5.9

17 7.4 289 5.6

18 7.4 308 4.9

19 6.4 267 3.8

20 5.0 190 2.5

21 3.8  125 1.4

22 3.5 120 0.6

23 3.3 116 0.4

24 3.1 87 0.1

Answer the questions for Assessment:

13. What are the two selected variables? a. Hour and Traffic b. Wind and Traffic c. Hour and Wind

14. Which of the variables has a better P-value and what is this P-value? (Note: numbers are truncated.) a. Traffic; 0.018 b. Traffic; 6.85E-12 c. Wind; 0.0056 d. Wind; 0.174

15. Based on the table, how would you characterize the Regression fit? a. Poor b. Good c. Excellent

16. What is another name for the coefficient 1.274461 and what is its interpretation based on the data? a. The X-intercept; when the average weekday traffic density and the perpendicular wind-speed component are zero.

b. The slope of an average summer weekday's CO2 concentration. It is how much the CO2 concentration will increase when both the average weekday traffic density and the perpendicular wind-speed component increase by 1 unit.

c. The Y-intercept; It is how much the CO2 concentration will increase when both the average weekday traffic density and the perpendicular wind-speed component are zero.

d. The Y-intercept; it is the average summer weekday CO2 concentration when the average weekday traffic density and the perpendicular wind-speed component are zero.

e. None of these

In order to analyze water samples using a spectrophotometer or plate reader, it is necessary to turn the molecules of nitrate into a dye molecule that can be quantified. The first step in turning nitrate (NO₃^-)  into a dye molecule is reducing it to a molecule of nitrite (NO₂^-). This is done by reacting the NO₃^- with cadmium.

After the reduction reaction, the NO₂^- is reacted with two additional reagents. The first reagent, Reagent A, is a solution of sulfanilamide and hydrochloric acid. The second reagent, Reagent B, is a solution of N-(1-naphthyl)-ethylenediamine, called NNED for short. The compounds are mixed with the water sample and produce a purple color. The intensity of the purple color is directly related to the concentration of nitrite in the water sample. We can measure how purple the water turns as absorbance on a spectrophotometer and then convert the absorbance to concentration of nitrate.

To make Reagent A, we will need to make a solution of 10.0 g of sulfanilamide in 1 L of 2.4 molar hydrochloric acid (HCl).

The stock solution of HCl is 6 molar HCl. How many milliliters (mL) of 12 M HCl would you add to produce 0.15 liters (L) of HCl?  mL HCl

After creating 0.15 L of 2.4 molar HCl solution, how many grams of sulfanilamide will be added?  g sulfanilamide

After reacting the nitrate with cadmium to produce nitrite, the nitrite is then reacting with sulfanilamide and N-(1-naphthyl)-ethylenediamine, to produce a purple dye molecule that can be quantified on a spectrophotometer.

The N-(1-naphthyl)-ethylenediamine, called NNED for convenience, reagent is made by mixing 1 gram of NNED in 1 liter of water. However, we don't always want to make an entire liter of solution because the NNED solution only lasts about 1 month before going bad and turning brown.

How many milligrams of NNED will need to be added to make 0.125 liters of solution?

After converting the nitrate into a purple dye, and measuring the absorbance of the purple dye on a spectrophotometer, a standard curve is used to convert the absorbance into concentration.

To make a standard curve, samples with known concentrations of NO₃^- are run on the spectrophotemeter. The samples with known concentrations are called standards. A linear regression is then performed to relate the concentration of NO₃^-  to measured absorbance values.

Here is a link to a spreadsheet containing a simulated data set. There are standards and their related absorbance values, and there are samples from two sites that were diluted, prior to processing and measuring their absorbances. The groundwater originates from the upslope site, and the hope is that the microbes in the soil are removing the NO₃^- from the groundwater before it reaches the downslope site.

Using the given data create a standard curve in Excel, and use Trendline to add a linear regression with the equation. Then use the standard curve and the dilutions to determine the concentration of NO₃^- in all the samples. Using the data analysis tool pack, perform the appropriate t-test to deduce if the nitrate concentration upslope is less than or greater than the nitrate concentration downslope. When performing a t-test using the data analysis tool pack, the output will include the means for both groups.

What is the average NO₃^- concentration at the upslope site?

Report your answer, from the data analysis tool pak output, to 3 decimal places

What is the average NO₃^- concentration at the downslope site?

Report your answer, from the data analysis tool pak output, to 3 decimal places

Given the EPA drinking water quality standard is 10 mg/L of nitrate, is the upslope site safe to drink based only on nitrate content?  (Enter yes or no)

Is the downslope site safe to drink, based only on NO₃^- concentration?  (Enter yes or no)

Assuming the two sites are hydrologically well connected, the transit time between the two sites is fast, and the two sites cannot be treated as independent samples, what kind of t-test should be performed to show that the upslope site is greater than the downslope site? Enter the letter of your answer choice in the answer blank

A. one-tailed unpaired t-test
B. two-tailed unpaired t-test
C. one-tailed paired t-test
D. two-tailed paired t-test

What is the calculated t statistic, rounded to 4 decimal places?

Is the calculated t statistic greater or less than the critical t value reported by the data analysis tool pack?  (enter greater or less)

Is the nitrate concentration at the upslope site significantly greater than the downslope site? (Enter yes or no)

Based on this statistical result, and assuming no diffusion or dilution occurs between the upslope and downslope site, do you think microbes are removing NO₃^- from the ground water?  (Enter yes or no)

DATA