Engineering Probability Homework 3 due Thurs 2019-02-07 2359 EST

Source

How to submit

Submit to LMS; see details in syllabus.

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 0.1% 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.)
    1. Do exercise 2.59, page 87. However, make it 21 students and 3 on each day of the week. Assume that there is no relation between birthday and day of the week.
  3. (5 pts) Do exercise 2.62 on page 88 of the text.
  4. (5 pts) Do 2.69, but use the interval [-2,2].
  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.