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ECSE-2500 Engineering Probability, RPI, Spring 2011 Home Page

Homework 3, due 2pm Tues Feb 15, 2011

Notes

  1. Email your solutions to

wrfranklin+homeworkATgmail.com , replacing AT with @.

  1. You may do this homework in teams of two people.
  2. Put the homework number, your names and RCS-IDs on the homework. (E.g. I would say something like Homework 3, W. Randolph Franklin, frankwr.)

Questions

  1. (5) Assume that it is known that one person in a group of 100 committed a crime. There is a pretty good forensic test. It makes errors (either way) only 0.1% of the time. You are given the test; the result is positive. What's the probability that you are the criminal? (Use Bayes.)
  2. (5 pts) Do exercise 2.62 on page 88 of the text.
  3. (5 pts) Do 2.69, but use the interval [-2,2].
  4. (5 pts) Do 2.72.
  5. (5 pts) Do 2.76.
  6. (5 pts) Do 2.82.
  7. (5 pts) Do 2.92.
  8. (5 pts) Do 2.95.
  9. (5 pts) Do 2.98.
  10. (5 pts) Do 2.101, but use 6 chips.
  11. (10 pts) Do 1.127.