.. title: Engineering Probability Homework 3 due Mon 2018-02-12 2359 EST
.. slug: homework03
.. date: 2018-02-05
.. tags: mathjax
.. category: homework
.. link: 
.. description: 
.. type: text

   
How to submit
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Submit to LMS; see details in syllabus.


Questions
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#. (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.)

#. (5) 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.
   
#. (5 pts) Do exercise 2.62 on page 88 of the text.

#. (5 pts) Do 2.69, but use the interval [-2,2].

#. (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.