CS 6553 Performance Evaluation Assignment 1

CS 6553 Performance Evaluation, Spring 1996 Assignment 4

Due March 5, 1996

These problems cover the material from chapter 12 and Sections 13.1 and 13.2. Most of these problems are from the text with some modification. Some of them have answers in the back of the book. It is important that you show how you got your answers and what assumptions you made. Just getting the correct answer may not be sufficient for full credit.

1. Problem 12.2

2. Problem 12.3

3. Problem 12.4 (It is important that you show how you got your answer and state any assumptions necessary.)

4. Problem 7, but with mean 9 and standard deviation 2. Also answer the the following:

e) What is the probability that in this model the execution time will be negative?

5. Problem 12.15, but use the following 20 numbers instead:
2.60, -1.18, 3.58, -0.21, 1.94, 0.11, 1.43, 0.47, 2.97, -1.43, 0.98, 1.48, -0.57, 2.00, 0.40, 2.49, 3.00, -0.80, 0.92, 3.65
Be sure that you show the data used to make your plot. In answering the question Are the errors normally distributed? make a statement about how the tails compare to a normal distribution.

6. The following data represents instruction counts (in millions) for various programs.
32, 42, 23, 24, 51, 37, 42, 54, 32, 43, 48, 30, 45, 32, 43, 45, 34, 18, 20, 28, 44, 33, 40, 38, 25, 32, 43, 33, 47, 24, 22, 44, 37
Answer each of the questions below, explaining how you got your answer:

You should also do problems 12.8, 12.9, 12.10, 12.11, 12.13, and 12.14 and make sure you agree with the answers in the book. Do not hand in the solution to these problems.