You are treating a patient with a diagnosis of CVA. You have been working on interventions to improve trunk control, and you patient is now able to reach overhead, down to the floor, and across mid-line for objects without losing her balance. What will be the next logical step in the progression of your patient?  

Question 1 (10 pts = 10 questions x 1 point each): Choose the appropriate answers for any 10 of the following questions. Write your choice clearly. 1. Which region of convergence (ROC) yields a stable, but not a causal LTI system, if ? −3 < Re{s} < 2 Re{s} > 2 Unit circle Re{s} < −3   2. If x(t) has Nyquist frequency , what is the Nyquist frequency of

What philosopher’s argument have you found the most interesting or important so far? Have they changed your mind or made you think about something in a new way? Your answer should be a few sentences long. 

Use the principle of utility AND the hedonistic calculus to decide what you should do in the following case:  Suppose as a government official, you have in custody a known, or at least suspected, terrorist. This individual is known, or at least suspected, to possess critical information about an imminent threat that could kill thousands of citizens. With each passing minute, you grow increasingly anxious as you realize that you can either: Torture the suspect to attempt to acquire the information you need to save thousands of innocent lives Not torture the suspect but never have a chance of getting the critical information that would save thousands of innocent lives Be sure to support why you chose the action you chose using the principle of utility AND the hedonistic calculus. 

A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (the Wall Street Journal, May 5, 2010). Suppose a random sample of 100 teen drivers is taken. True or False: The sampling distribution of the sample proportion is approximately normal.

A random sample is drawn from a population with mean μ = 66 and a standard deviation σ =5.5Calculate the probability that the sample mean falls between 66 and 68 for n = 36. 

Last year, the typical college student graduated with $27,300 in debt (The Boston Globe, May 27, 2012). Let debt among recent college graduates be normally distributed with a standard deviation of $6,000.What is the probability that the average debt of two recent college graduates is more than $33,000? 

Unless otherwise specified, round all answers to 4 decimal places!

A car manufacturer is concerned about poor customer satisfaction at one of its dealerships. The management decides to evaluation the satisfaction surveys of its next 40 customers. The dealer will be fined if the number of customers who report favorably is between 22 (out of 40) and 26 (out of 40).The dealership will be dissolved if fewer than 22 (out of 40) customers report favorably. It is know that 70% of the dealer’s customers report favorably on satisfaction surveys.What is the probability that the dealer will be fined?

A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (the Wall Street Journal, May 5, 2010). Suppose a random sample of 100 teen drivers is taken.Calculate the standard error for the sampling distribution of the sample proportion.