2A.  A sample of 15 measurements are as follows   32.2   32.0   30.4   31.0   34.2   30.3   29.6   30.5   30.7   31.2   30.5   28.5  35.3  29.1  33.6 (a) Draw a box diagram. Show your detail work.  (b) Is there any outlier? (need to show mathematically, don’t just say yes or no)        (5 points)   2B.   A proficient chef tends, on average, to make just one mistake for every four recipes prepared. Determine the probability that the chef will make (a) no errors at all in a recipe. (b) at most 5 errors in 12 recipes. If you are using formula then write down the formula you are using, show the numerical value of each term.       (5 points)        

1A.  A hospital receives supplies of a certain medication from three different manufacturers: Manufacturer A, Manufacturer B, and Manufacturer C. The proportions of supplies from these manufacturers are 40%, 35%, and 25% respectively. The probabilities that a batch from these manufacturers is faulty are 1%, 3%, and 5% respectively. If a batch is found to be faulty, what is the probability that it came from Manufacturer C? Please show all your work, first write the formulas you are using then plug in the given value.

Answer all questions in the exam document embedded below. After you completed your exam, scan your pages into a single PDF, name it Quiz3_StudentName (example: Quiz3_JohnSmith.pdf).  Before uploading, verify your file has all the pages you need to submit. Upload it by clicking on “Choose a File” button in “Question 1” below. You are only allowed to upload one file to a question. Then click “Submit Quiz”. You may get a warning saying that you have some unanswered questions if you do not use optional file upload sections, click OK to submit anyway. View exam document here. Use double-sided arrow icon on the tool bar below to preview it in full screen mode. You can also download it and open it on your computer. Quiz 4-1.pdf

In each part, determine the damping case given the m, c and k values. m=2, c=10, k=3: [ovderdamp] m=1, c=4, k=4: [critdamp] m=2, c=0, k=1: [undamp]  

Suppose we are solving the ODE in the form In each of the following parts, determine the roots of the characteristic equation given in the corresponding general solution:

When solving the ODE =0, what should b be equal to so that the characteristic equation has one repeated real root?

FIRST ESSAY QUESTION (50 points)ANSWER ONE OF THE FOLLOWING TWO QUESTIONS:A.   If the equilibrium price for a two-liter bottle of Bubble-Cola were $3.50 today, like it was eight years ago, can we safely say that all supply and demand conditions in the market for carbonated soft-drinks have remained very stable all these years? Explain your answer using economic concepts.   OR:B. The U.S. Postal Service (USPS) has been raising postal rates on a regular basis.  The service has been losing money. One of the reasons has been the increased competition from companies such as UPS and FEDEX, as well as new technologies, such as faxes, e-mails, and electronic bill payments. With this decrease in demand for postal services losses continue to increase. However, USPS and UPS share similar activities involving shipping and package delivery. In fact, UPS has contracted with USPS for the final phase of logistics in the delivery of the merchandise to its destination. Why do you think that the Postal Service seeks rate increases? Explain your answer using economic concepts.    

What will be used to proctor all quizzes and exams?

Answer one of these questions in 1 – 3 sentences.   1. “There is an element of normal behavior at the heart of most psychological disorders”. What does this statement mean, according to psychologists? OR 2. What is the DSM 5? How is it used in the treatment of psychological disorders?  

A physical therapist has determined a patient has a fair prognosis for physical therapy due to multifactorial complexities. What is the most appropriate adjustment to the patient’s plan of care?