.. title: PROB Engineering Probability Homework 3 due Thurs 2020-02-06
.. slug: homework03
.. date: 2020-01-30
.. tags: homework
.. link: 
.. description: 
.. type: text
.. has_math: true

Submit the answers to Gradescope.

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



Questions
---------

#. (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.)

#. (5 pts) Do exercise 2.58 on page 87 of the text.

#. (5 pts) Do exercise 2.65 on page 88 of the text.

#. (5 pts) Do 2.69, but use the interval [-3,3].

#. (5 pts) Do 2.72.

#. (5 pts) Do 2.76.

#. (5 pts) Do 2.82.

#. (5 pts) Do 2.97.

#. (5 pts) Do 2.102.

#. (5 pts) Do 2.106.


Total: 50 pts.