You want to determine the speed limit for a local highway.   

Distribution data for the driving speed on a given street is given below; all speeds have been rounded to the nearest integer.  

Part a: What is the average(mean) and standard deviation of this sample of data? (Hint, you will need to manipulate the data – you cannot use the average or stdev functions in excel on the data as is.)

Part b: What is the value that 85% of the drivers fall under (the 85% speed limit) that you would recommend using this data? Answer the following questions to help you think through this problem.  

• When do you use the respective distribution or inverse functions in excel? Which situation do you have here and how do you know?

• Using that information, what would you recommended speed limit this road? (Think about speed limits and how they are posted?)

Part c: What percent of people drive within 5 mph of your recommended 85% speed limit, using this data?

A stock price is currently $50. It is known that at the end of two months it will be either $53 or $48. The risk-free interest rate is 10% per annum with continuous compounding. Use no arbitrage arguments. a) Whatisthevalueofatwo-monthEuropeanputoptionwithastrikepriceof$50? b) How would you hedge a short position in the option?

A stock price is currently $50. It is known that at the end of two months it will be either $53 or $48. The risk-free interest rate is 10% per annum with continuous compounding. What is the value of a two-month European call option with a strike price of $49?

A sample of 44 observations is selected from one population with a population standard deviation of 3.1. The sample mean is 101.0. A sample of 56 observations is selected from a second population with a population standard deviation of 5.0. The sample mean is 99.5. Conduct the following test of hypothesis using the 0.10 significance level.

H0:U1=U2

H1: U1 does not equal U2

a. is this a one or two tailed test?

b.state the decision rule rounded 2 decimals

the decision rule is to reject H0 if z is outside/inside the interval (____,_____)

c. compute the test statistic to two decimals

d. what is your decision regarding H0?

reject/do not reject

e. what is the p value rounded 4 decimals

When two viruses with similar capsids co-infect a cell, it is possible for virions to be produced where the capsid does not match the genome. This phenomenon is known as phenotyphic mixing. What could be the conquences of this mismatch?

Please give genus and species for each answer.

41. A 8-year-old boy is brought to the doctor with a 3-day history of fever and a rash. He has a mild sore throat and felt tired. His mom is concerned that he might have scarlet fever. The rash started on his face and then spread to his arms and legs. He has only been given acetaminophen for the fever. He has no allergies and no significant medical history. His temperature is 101.5 F and his vital signs are normal. His cheeks are notably red, almost as if they had been slapped. There is a fine erythematous maculopapular rash but no vesicles or petechiae. A rapid group A streptococcal antigen test done was negative.

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42. A 46-year-old male with known HIV is brought to the hospital with diarrhea. He has had between 15 – 25 watery stools for the past two weeks. He has allow grade fever an feels fatigued but no vomiting. He has lost 10 pounds. He is on AZT, 3TC and a protease inhibitor for his HIV. His CD4 count is 149 cells. His temperature is 98.9 F. His mucous membranes are moist. He has tachycardia and hyperactive bowel sounds. His stool is heme negative. A modified acid-fast stained feces reveals multiple red and pink, round oocysts.

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43. A 3-year-old male infant is brought to the emergency room in the middle of February with fever, vomiting and diarrhea for the past day. He has not been able to keep anything down and he has a watery diarrhea. He goes to daycare and many of his classmates are also sick with the same symptoms. He has tachycardia and a fever (100.2 F). His eyes appear sunken, he has active bowel sounds and his stool is watery and pale. His feces was negative for blood and white blood cells.

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44.A 29-year-old female presents complaining of a 3 day itchy vaginal discharge. A week previously she was treated for a UTI with antibiotics. She denies abdominal pain and there is no dysuria. A pelvic examination reveals a thick, curd like, white discharge in her vagina.

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45. A 5-year-old boy is seen by his pediatrician because of anal itching. His mother has noticed him scratching and rubbing his anal area. His anal area is red and raw from all the scratching. His mother has applied hydrocortisone but it hasn’t helped. He does not have diarrhea. His vital signs are normal. The doctor performs a microscopic examination of a sample collected by touching the perianal area with double sticky tape.

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46. You met your wife at the local hospital where you work. You were married 18 months ago and now she discovers she is pregnant. You are both very she goes to the obstetrician for her first prenatal visit. Everything looks good; she is seven weeks into a normal pregnancy. About 10 days later you come home from work and she is waiting for you in the kitchen, looking very upset. She tells you that she tested positive for a STD. She says it must mean that you have been unfaithful because she has not had relations with anyone since you were married. Which of the following infections is possible if both of you have been monogamous for at least two years?

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47. A 40-year-old man with a history of intravenous drug use entered the local clinic with complaints of a dry, persistent cough; fever; malaise; and anorexia. Over the preceding 4 weeks, he had lost 12 pounds and experienced chills and sweats. A chest x ray revealed patchy infiltrates throughout the lung fields. Because the patient had a nonproductive cough, sputum was induced and submitted for bacterial, fungal and mycobacterial cultures, as well as examination for Pneumocystis. Blood cultures and serologic tests for HIV infection were performed. The patient was found to be HIV positive. The results of all cultures were negative after 2 days of incubation; however, cultures were positive after an additional 10 days of incubation. The most likely organism isolated from this patient is:

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48. You are called to the home of Michael, a 13 week – old baby boy who has become listless and is having trouble breathing. The parents report that he used to smile, but lately he has not smiled, nor has he had other noticeable facial expressions in the last two days. His eyes are open when you arrive, but he does not seem to be focusing. You place your out stretched finger under his but he can not grasp it.

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49. On an autumn day a number of people became ill working at the Widget Company. It is an industrial plant in the heart of Cincinnati, Ohio. Their symptoms ranged from simple coughing and other respiratory symptoms to pneumonia. At least one of fifty people showing symptoms died. The company voluntarily closed the building upon recommendation from the health department. After all of the water and cooling systems at the plant were evaluated and disinfected, it reopened and no new cases were reported. What is the causative agent at the factory?

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50. Jane has been on multiple antibiotics for the past few months for a severe sinus infection. She has been losing weight and looks especially pale. She has emerged from the ladies room. This her fourth trip today. She collapses and is taken to the hospital. 51. When you left for work this morning your 3-month old daughter

C++, Java, Python. Assume we have two sequences of values S1 containing 1, 5, 3, 6, 7, 8 while S2 containing 2, 5, 6, 9, 7. We’d store these two sequences as sets and performance set intersection and set difference. Write C++, Java, Python codes to do that respectively. Compare and contrast the readability and writability.

Question

One A quality department is planning to inspect a shipment of 120 spur-gears. The quality engineer has decided to use a sample size of 10 products. If the number of nonconforming products in the shipment is expected to be seven products, help in finding the below: (a) The number of samples contains a maximum of two nonconforming products. (b) The number of samples contains a minimum of four conforming products. (c) The number of samples contains ten conforming products

Calculating initial investment : DuPree Coffee? Roasters, Inc., wishes to expand and modernize its facilities. The installed cost of a proposed? computer-controlled automatic-feed roaster will be $138,000. The firm has a chance to sell its 44?-year-old roaster for $35,600. The existing roaster originally cost $59,100and was being depreciated using MACRS and a? 7-year recovery period? (see the table below) . DuPree pays taxes at a rate of 40% on ordinary income and capital gains.

Rounded Depreciation Percentages by Recovery Year Using MACRS for

First Four Property Classes

Percentage by recovery year*

Recovery year

3 years 5 years 7 years 10 years

1 33% 20% 14% 10%

2 45% 32% 25% 18%

3 15% 19% 18% 14%

4 7% 12% 12% 12%

5 - 12% 9% 9%

6 - 5% 9% 8%

7 - - 9% 7%

8 - - 4% 6%

9 - - - 6%

10 - - - 6%

11 - - - 4%

Totals 100% 100% 100% 100%

a. What is the book value of the existing? roaster?

b. Calculate the? after-tax proceeds of the sale of the existing roaster.

c. Calculate the change in net working capital using the following? figures:

d. Calculate the initial investment associated with the proposed new roaster.