How would I prove this ?

R > A / R > ( A v W )

I was thinking that this would work but I am not sure.

2. R > (A v W) 1, MP

assume that s and t are independent exponentially distributed, set u = min(s,t), v = max(s,t). prove that u and w = v-u are independent

Calculate the curls of: ? ×V~ = [?yVz ??zVy] xˆ +[ ?zVx ??xVz] yˆ+ [?xVy ??yVx] zˆ  

(b) V= y xˆ + z yˆ + x^2 zˆ

Let U and V be independent continuous random variables uniformly distributed from 0 to 1. Let X = max(U, V). What is Cov(X, U)?

Please provide the correct term described in each question below.

1. The probability that a test correctly classifies as negative those individuals who do not have preclinical disease.

2. Individuals who test negative for a disease even though they actually have the disease.

3. A measure of the new cases of disease in a prospective cohort study.

4. The type of study design that examines the associations between diseases and other variables of interest in a defined population at one particular time.

5. This is present when the association between exposure and disease is different within categories or levels of a third variable.

6. The prevalence of disease at a certain point in time.

7. Hill criterion where consistent results are found in different populations, in different time periods, with different study designs.

8. Lack of random error in estimating a population parameter.

9. The appropriate measure for determining whether a screening test correctly classifies people with disease as having disease.

The study design where increasing sample size decreases the possibility of confounding

Business and Data Management

Module 3

Case Study One Instructions

Scenario:

You have been hired as a security analyst for Garbo Rheumatology Research Center. This lab is producing cutting edge treatments for rheumatology and similar autoimmune diseases. Despite being cutting edge, this research is not top secret. Funding is provided by government grants and sponsored by a major research university in the area.

While there is not an intense amount of security required, the data being researched does include medical and laboratory data taken from human and animal subjects. This information comes from a small, attached, on-site clinic and several small animal labs on university premise. Currently, accessibility to the facilities employ appropriate physical controls to ensure that only authorized individuals are permitted within the given facilities; via a combination of security badges and pin codes.

Laboratory

The labs are dedicated to research materials. Lab technicians utilize three shared desktops located in the rear of the labs to register their data. They use separate logins and are required to log out after they complete their work. Many of these technicians are Ph.D. candidates or post doctorate students who, also, utilize these computers to correspond with their advisors. Some of these advisors are the researchers who work on projects within the labs, while others are professors on the university’s main campus.

The actual data itself is stored in a server room, which also functions as the office of the systems administrator. Access to this room is available only to the systems administrator and the Primary investigator (PI) of the project. The medical doctors/researchers, who work on site, each have a private office where they review and analyze the research data. Each office is accessible only to the occupant and building maintenance. These researchers deal with patient medical records, student coursework, and research data produced by the lab.

Data held in the database -

• Medical patient profile
• Medical test results
• Demographic information of Individual patients
• Clinical visits organized by patient

Paperwork spread around the office -

• Physical version of patient’s medical chart
• Printouts of test results and biological samples from both human patients and animal subjects
• Student assignments with and without grades

Medical Clinic

The medical clinic is permanently staffed with receptionists, office staff, and nurses. The medical doctors/researchers rotate shifts seeing patients and do not have permanent office space in this area. Instead they share desks and computers, while the nurses and office staff have permanent space and computers assigned to them individually. There is a shared workspace at the front desk which is utilized for patient booking, patient sign-in, and processing patient payments. Patients pay for appointments with credit and debit cards.

Data found in the Clinic –

• Patient logs (sign-in sheets)
• Printouts of credit card transactions
• Receipts left by patients
• Medical records of patients being seen that day
• New patient profiles

Assignment:

Part of evaluating the security of an organization is understanding the environment which the business operates. It is important not to just identify the data being handled, but, also, to understand what laws and regulations protect the data. This information might force us to handle and protect the data in ways that we would not otherwise have planned to in order to comply with the regulations.

• Based on the above scenario, list in “table format” the laws and regulations that this organization should consider in terms of welfare and data privacy best practices? There are numerous laws and regulations available to research.
• Based on these standards (i.e., HIPAA), what best practices would you suggest for healthcare compliance requirements?

1) A group of researchers would like to study the effect of electronic cigarettes (e-cigarettes) use on getting lung cancer. 500 subjects were randomly sampled from e-cigarettes users and 500 subjects were randomly sampled from non-users for monitoring. The incidence of lung cancer for the two groups are reported in the following contingency table.

Based on this sample, what is an estimated population risk ratio of getting lung cancer between e-cigarette users and non-users (correct to 2 decimal places)?

A) 2.84

B) 0.35

C) Cannot be determined.

D) 2.40

2) A basket consists of 3 red balls and 2 white balls which are identical in all other respects. 3 balls are chosen at random with replacement. Let A be the event of obtaining at least 1 white ball. Let W represent the number of white balls obtained. For example, P(W=1) is the chance of obtaining exactly one white ball. Which of the following is equal to P(A)?
(I)   P(W=1) x P(W=2) x P(W=3)
(II)   1 – P(W=0)

A) Neither (I) nor (II).

B) Only (II).

C) Both (I) and (II).

D) Only (I).

3) A researcher wants to investigate if excessive gaming in adolescents increases the risk of a child having Attention-Deficit/Hyperactivity Disorder (ADHD). A person who spends at least 6 hours on gaming per week is classified as a gamer; otherwise a non-gamer. For simplicity, assume that ADHD can be diagnosed quite accurately. If the researcher wants to do a cohort study, which of the following statements indicate how he should carry out his study?

A) He should randomly sample from “Gamer” and “Non-gamer” populations and compare r(ADHD | Gamer) with r(ADHD | Non-gamer)

B) He should randomly sample from “ADHD” and “no ADHD” populations and compare r(Gamer | ADHD) and r(Gamer | no ADHD).

C) He should randomly sample from “Gamer” and “Non-gamer” populations and compare r(Gamer | ADHD) with r(Non-gamer | ADHD).

D) He should randomly sample from “ADHD” and “no ADHD” populations and compare r(ADHD | Gamer) and r(no ADHD | Gamer).

4) Let E and F be two events in a sample space. Which of the following statements is/are definitely true?   
I) If P(E) + P(F) > 1 then E and F are not mutually exclusive.
II) If E and F are mutually exclusive, then P(E) = P(F) = 0.5

A) Only (II).

B) Neither (I) nor (II).

C) Both (I) and (II).

D) Only (I).

5) Which of the following statements is/are true?
I) Cohort studies have no control group whereas case control studies do.
II) Case control studies are better than cohort studies for rare events/diseases.
A) Only I is true

B) Only II is true.

C) Both I and II are true

D) Neither I nor II are true.

*PLEASE TYPE YOUR ANSWER (NO SCREENSHOTS OR IMAGES). THANK YOU IN ADVANCE

Reduction Half Reaction E (V)

Ag₂MoO₄(s) + 2e^- ---> 2 Ag(s) + MoO₄^2-(aq) 0.4573 V

Ag⁺(aq) + e^- ---> Ag(s) 0.7996 V

a.) Calculate the mass in grams of Ag₂MoO₄(s) that will dissolve in 2.0 L of water.

b.) Calcilate the cell potential of:

Ag(s) | Ag₂MoO₄(s) | MoO₄^2-(aq) (0.010 M) || Ag⁺(aq) (0.010M) | Ag (s)

V-51 (atomic mass = 50.94396 amu)

Mass defect? Amu

Binding energy per nucleon? express answer using four sig figs. Me/V nucleon

Ag-107 (atomic mass = 106.905092 amu)

Express your answer using five decimal places.

Mass defect? amu

Binding energy per nucleon? Me/V nucleon

four sig figs.