The mean number of students who went to examinations is 450 students with a standard deviation of 75 students. The distribution of the number of students is normal.

1. What number of students who correspond to the last 15%.
2. Fin the probability that less than 430 students want on campus examinations.
3. Calculate the probability that more than 400 students wanted on campus examinations
4. Determine the probability that between 452 and 463 students wanted on campus examinations

(b) In a tutorial session of AMA1501, there are 11 accounting students, 6 marketing students and 8 financial service students. Among these 25 students, a group of 5 students is selected randomly for the first presentation.
i. How many different groups can be formed?
ii. What is the probability that this group consists of only accounting students?
iii. What is the probability that this group consists of exactly 2 accounting students and 3 marketing students?

CASE STUDY 36.1 Patient With a Transplant

Brief Patient History

Mr. V is a 42-year-old man with chronic viral hepatitis C. He has a Model for End-Stage Liver Disease (MELD) score greater than 25. Mr. V is in acute fulminant liver failure and is on the waiting list to receive a liver transplant. Mr. V was hospitalized 2 weeks ago with ascites, hepatorenal syndrome, and hepatic encephalopathy. He has been treated with diuretics, antibiotics, and laxatives. Before transplantation, he remained in the intermediate care unit and was not intubated. He is now undergoing liver transplantation.

Clinical Assessment

Mr. V is admitted to the critical care unit from the operating room after receiving an orthotopic liver transplant. He is intubated and sedated. Mr. V moves all extremities but does not follow commands. He has a nasogastric tube, pulmonary artery catheter, arterial line, urinary catheter, abdominal drain (draining bright red blood), and external biliary drain in place. Continuous renal replacement therapy is in progress.

Diagnostic Procedures

Baseline vital signs include the following: blood pressure of 100/60 mm Hg, heart rate of 118 beats/min (sinus tachycardia), respiratory rate of 20 breaths/min, temperature of 98.3°F, and oxygen saturation of 98%.

Urine output was 75 mL/h and is now 15 mL/h. Central venous pressure is 14 mm Hg, pulmonary artery pressure is 30/16 mm Hg, pulmonary artery occlusion pressure is 18 mm Hg, and intraabdominal pressure is greater than 25 mm Hg.

His current laboratory values include the following:

White blood cell count: 3100 cells/mm3

Hematocrit: 25.3%

Hemoglobin: 8.6 g/dL

Platelet count: 47,000/microliter

Aspartate aminotransferase: 315 units/L

Aminotransferase: 230 units/L

Alkaline phosphatase: 380 units/L

Gamma-glutamyltransferase: 1040 units/L

Total bilirubin: 12.5 mg/dL

Prothrombin time: 21.3 s

International normalized ratio: 2.5

Partial thromboplastin time: 69.9 s

Blood urea nitrogen: 39 mg/dL

Serum creatinine: 1.4 mg/dL

Potassium: 3.8 mEq/L (mmol/L)

Medical Diagnosis

Mr. V is diagnosed with intraabdominal hypertension and abdominal compartment syndrome.

Questions

1. What major outcomes do you expect to achieve for this patient?

2. What problems or risks must be managed to achieve these outcomes?

3. What interventions must be initiated to monitor, prevent, manage, or eliminate the problems and risks identified?

4. What interventions should be initiated to promote optimal functioning, safety, and well-being of the patient?

5. What possible learning needs do you anticipate for this patient?

6. What cultural and age-related factors may have a bearing on the patient’s plan of care?

1.) Match the sampling strategy in each plan.

A statistics teacher wants to know how her students feel about an introductory statistics course. She decides to administer a survey to a random sample of students taking the course. She has several sampling plans to choose from.

Match number with letter

1. Using the class roster, select every fifth student from the list.

2. There are four ranks of students taking the class: freshmen, sophomores, juniors, and seniors. Randomly select students from the school until you have 15 student responses from each class rank.

3. Each student has a nine-digit student number. Randomly choose 60 numbers.

4. Randomly select a class rank (freshmen, sophomores, juniors, and seniors) and survey every student in that class rank.

Choices:

a. Stratified sampling.

b. Cluster sampling.

c. Simple Random sampling

d. Systematic sampling

e. Quota sampling

f. Convenience sampling

g. Voluntary response sampling.

question 2.) A researcher is collecting data in a large community. For each scenario identify the bias.

Match the number with the letter.

1. The researcher begins with mentioning that the survey will take 30 minutes of their time.

2. No one seems to be home at four houses on her route. She does not return at a later time to try to find residents at home, but leaves them a phone number to contact her.

3. She selects a block where she is comfortable walking because she knows many of the people living on the street.

4. One of the question the researchers asks is about the frequency they are not at home.

Choices:

a. Sampling Bias

b. Voluntary Response Bias

c. Self-Interest Study

d. Response Bias

e. Perceived Lack of Anonymity

f. Loaded Question

g. Non-Response

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).

Below are info on one of the firm's client. Your Senior Manager has asked you to draft an internal memo discussing the implications of the client. Make sure to discuss Issue, Conclusion, Analysis. The manager has also provided you with some sources to start your research for the client.

Addison Brooks is a self-employed attorney who operates his law practice as an unincorporated sole proprietorship. In 2015, the IRS disallowed several business deductions he took in 2013 and 2014. In addition, to paying the deficient and assessed penalties, he also pays $18,000 in interest on the tax owed. Can he deduct that interest in the current year?
A partial list of sources is:
• § 162, 163
• Reg. § 1.163-9T
• Kikalos v. Comm., 84 AFTR 2d 99-5933

Below are info on one of the firm's client. Your Senior Manager has asked you to draft an internal memo discussing the implications of the client. Make sure to discuss Issue, Conclusion, Analysis. The manager has also provided you with some sources to start your research for the client.

Addison Brooks is a self-employed attorney who operates his law practice as an unincorporated sole proprietorship. In 2015, the IRS disallowed several business deductions he took in 2013 and 2014. In addition, to paying the deficient and assessed penalties, he also pays $18,000 in interest on the tax owed. Can he deduct that interest in the current year?
A partial list of sources is:
• § 162, 163
• Reg. § 1.163-9T
• Kikalos v. Comm., 84 AFTR 2d 99-5933

The demand for DVDs is P = 60 – 0.05Q and the supply is P = 0.025Q. For each of the following scenarios calculate: i) price paid by buyers, ii) price received by sellers, iii) quantity supplied, iv) quantity demanded, v) quantity traded, vi) consumer surplus, vii) producer surplus, viii) tax revenue, ix) deadweight loss. Include a detailed and well-labeled graph with each scenario. Also include a list of which group(s) (either Consumers, Producers, or Government) are most likely to be in favor of each scenario.

            Scenario A: An unregulated market (no price ceilings, price floors, subsidies, or taxes)

            Scenario B: A market with a price ceiling of $15.

            Scenario C: A market with a price floor of $30.

            Scenario D: A market with a $15 per unit tax.