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PROB Engineering Probability Homework 3 due Thurs 2020-02-06

Source

Submit the answers to Gradescope.

OK to work in teams of 2. Form a gradescope group and submit once for the team.

Questions

  1. (5 points) Assume that it is known that one person in a group of 100 committed a crime. You're in the group, so there's a prior probability of 1/100 that you are it. There is a pretty good forensic test. It makes errors (either way) only 0.2% of the time. You are given the test; the result is positive. Using this positive test, what's the probability now that you are the criminal? (Use Bayes.)
  2. (5 pts) Do exercise 2.58 on page 87 of the text.
  3. (5 pts) Do exercise 2.65 on page 88 of the text.
  4. (5 pts) Do 2.69, but use the interval [-3,3].
  5. (5 pts) Do 2.72.
  6. (5 pts) Do 2.76.
  7. (5 pts) Do 2.82.
  8. (5 pts) Do 2.97.
  9. (5 pts) Do 2.102.
  10. (5 pts) Do 2.106.

Total: 50 pts.