The following time series shows the sales of a particular product over the past 12 months.

(b)

Use α = 0.4 to compute the exponential smoothing forecasts for the time series. (Round your answers to two decimal places.)

(c)

Use a smoothing constant of α = 0.6 to compute the exponential smoothing forecasts. (Round your answers to two decimal places.)

A) Fill in the blanks. According to estimates by the office of the Treasury Inspector General of IRS, approximately 0.07 of the tax returns filed are fraudulent or will contain errors that are purposely made to cheat the IRS. In a random sample of 332 independent returns from this year, around __________ returns, give or take __________, will be fraudulent or will contain errors that are purposely made to cheat the IRS.

B)

According to estimates by the office of the Treasury Inspector General of IRS, approximately 0.0354 of the tax returns filed are fraudulent or will contain errors that are purposely made to cheat the IRS. In a random sample of 393 independent returns from this year, what is the probability that greater than 10 will be fraudulent or will contain errors that are purposely made to cheat the IRS?

C)

Suppose that the probability of a baseball player getting a hit in an at-bat is 0.2884. If the player has 40 at-bats during a week, what's the probability that he gets exactly 16 hits?

A) Suppose that the mean and standard deviation of the scores on a statistics exam are 89.2 and 6.49, respectively, and are approximately normally distributed. Calculate the proportion of scores below 77.

B)

When students use the bus from their dorms, they have an average commute time of 8.974 minutes with standard deviation 3.1959 minutes. Approximately 66.9% of students reported a commute time less than how many minutes? Assume the distribution is approximately normal.

C)

The revenue of 200 companies is plotted and found to follow a bell curve. The mean is $637.485 million with a standard deviation of $27.6736 million. Would it be unusual for a randomly selected company to have a revenue above $687.08 million?

3. The client of a project has requested the project team to crash 8 hours of time. The table below provides the necessary information about the possible project crashing.

(a) What is the crash cost for 8 hours of time-savings?

(b) Assume the team calls the client and asks for a project extension, reducing the amount of time they need to crash. The project team has a $20 crash budget. Is the budget sufficient to crash 4 hours of time?

Evaluation

The Unit Exercises will be marked in its entirety out of 100. The following rubric indicates the criteria students are to adhere to, and their relative weights to the assignment overall.

very massive black holes with masses of Billions of solar masses are primarily formed how?

What properties of a Black Hole can you determine theoretically

What can you say about Hawking radiation?

What is the engine in an AGN

A shipping company ShipCo supplies four destinations (D1,D2,D3,D4) from four sources (S1,S2,S3,S4). The shipping cost (in dollars) per shipment from each source to each destination is given below.

The four sources make 10, 20, 20, and 10 shipments per month, respectively. The four destinations need to receive 20, 10, 10, and 20 shipments per month, respectively. The manager of ShipCo now wants to determine the best plan for how many shipments to send from each source to each destination each month. The objective is to minimize the total shipping cost. Answer the following questions:
(a) Formulate this transportation problem as an LP. Clearly explain your variables and constraints.
(b) Use the Northwest corner method to find an initial BFS.
(c) Starting from the initial BFS in part (b), apply the transportation algorithm to solve this problem.

It is a very dry year in New Mexico. Described two adaptations and two acclimatization's that plants have for dealing with drought (4 points).

Adaptation 1:

Adaptation 2:

Acclimatization 1:

Acclimatization 2:

Explain the two-fold cost of stomatal closure for water conservation during drought (2 points).

18) In your own words, explain the difference between the fundamental niche and the realized niche (2 points). Provide an example (can be real or hypothetical, can be plant or animal) of when the fundamental and realized niches of a species would differ. (2 points)

FUNDAMENTAL - 2
INDIVIDUAL ASSIGNMENT TOPIC: ETHICS OF CONDUCTING BIOMEDICAL RESEARCH
1. It should be hand writing.
2. Follow the key points and marks distribution
3. Submit on time and no delay submission.
  
The key Points are:

1. Introduction - 0.5 mark
2. Conducting Biomedical Research on Humans - 2.5 marks
3. Conducting Research and Experiments on Animals - 2.5 marks
4. Regulations for Accepting Scientific Research Grants - 2 marks
6. Regulations for Innovative Interventional Procedures - 2 marks
7. Neatness and Creativity - 0.5 mark

4. Hyperkalemia is a dangerous condition that occurs when your blood has too much potassium. It can be caused by taking medications for hypertension. Based on what you know about potassium’s role in the body, explain specifically why high blood potassium is dangerous (2 pts). What hormone is released due to high blood potassium (1 pts)? How is this condition linked to hypertension medications such as ACE inhibitors (2 pts), angiotensin 2 antagonists (2 pts), and renin inhibitors(2 pts)? 1 pts for essay formatting, grammar and spelling.

Q1. A catalyst support adsorbs 2 cm³ of nitrogen at 1 mbar pressure and 6 cm3 at 6 mbar. Find the volume of gas corresponding to one monolayer coverage (V_m).

(nb Give answer to 2 dp even if its an integer - eg write 5.00. DO NOT give units in your answer)

Q2.

In the following mechanism * indicates a radical species. Identify the nature of each of the steps in the reaction:

1.     Br₂ + H₂ --> 2Br* + H₂

2.     Br₂ + Br₂--> 2Br* + Br₂

3.     Br* + H₂  --> HBr + H*

4.     H* + Br₂ --> HBr + Br*

5.     H* + HBr --> H₂ + Br*

6.     Br* + HBr --> Br₂ + H*

7.     2Br* + Br₂ --> 2Br₂