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Problem 3 Luna and Naomi run a pet grooming shop. Pets arrive according to a Poisson process with rate . Each arriving pet is a dog with probability and a cat with probability , independently of previous arrivals. Naomi takes care of dogs only, and Luna takes care of cats only. Naomi’s service time is exponentially distributed with rate dogs per hour. Luna’s service time is exponentially distributed with rate cats per hour. Upon arrival of a dog, if Naomi is available, she takes care of it; otherwise, the dog leaves and does not return. Similarly, upon arrival of a cat, if Luna is available, she takes care of it; otherwise, the cat leaves and does not return. At the end of service, pets leave the shop and do not return. (a) Write down the rate matrix for a continuous-time Markov chain with state space , where means there are no pets in the shop, means there is one cat only, means there is one dog only, and means there is one cat and one dog in the shop. Is this a birth-and-death chain?(b) Let denote the state of the Markov chain at time . Find

Gricean Maxims (4pts each) In the following questions, you will identify which Gricean Maxims have been violated in certain real-world or simulated events. Some comments have been condensed to easy analysis. For each item, you will read an Inquiry followed by a Response. To assist your analysis, a Hypothetical Felicitous Response is provided as a comparison. Task: Compare the Response to the Hypothetical Felicitous Response. Select all maxims that the original response violates. If the original response is perfectly clear and direct, you may leave the boxes unchecked. Note: Responses may violate more than one maxim.

The next two questions pertain to this patient vignette: Mrs. Lowenstein is a 78-year-old female referred to you for development of an exercise program.  She had polio when she was two years of age. The polio affected her R LE.  She had rehabilitation as a child but has had to use a KAFO to ambulate because of weakness.  She has not had difficulty until one year ago when she noted she was getting more fatigued with ambulation and she reports that her R LE has become weaker.  She has been diagnosed with Post-Polio Syndrome. MMT:               R         L Hip flex            3+        4 Hip ext             3+        4 Knee flex         3-         5 Knee ext          2          5 Ankle DF         0          5 Ankle PF         1          4   How would your approach to Mrs. Lowenstein’s hip strengthening in her right leg differ from your approach to the more distal musculature?

A _________ autoclitic modifies the listener’s reaction by specifying the amount. 

Given: The initial conditions are 1.3 M propionic acid (H5C3O2H).   Ka = 4.9*10-5. What is the pH? Use the small-x approximation if possible. Your work to the previous question may help with this question. Do not use scientific notation.

19). A patient has a fear of needles. The patient is undergoing hyperventilation. Which of the following will the patient experience?     

Prompt1 (60pts): What set the US and the Soviet Union apart, how did the Cold War affect American politics and legislation, and provide details on two examples of global conflicts that were fueled by this US/Soviet confrontation? Prompt2 (40pts): What legislation and movements took place during the 1960s to illustrate that citizens had more rights and access to social services?

17). The main site of gas exchange in the human body occurs in the                 .

A nurse is auscultating a clients lungs.  Which of the following findings should the nurse identify as abnormal?  

Given Kp = 1.6 for Si(s) + 2H2(g) = SiH4(g), how will the reaction respond to reach equilibrium if the current pressures are hydrogen gas = 1.5 atm and silicon hydride = 5.0 atm and there is excess solid?