.. title: Engineering Probability Class 23 Thu 2020-04-16
.. slug: class23
.. date: 2020-04-16
.. tags: class
.. link: 
.. description: 
.. type: text
.. has_math: true

.. sectnum::
.. contents:: Table of contents::
..

Prof Radke lecture 22
---------------------

`His notes <../files/radke/lec22.pdf>`_ 


Final exam
----------

#. Optional; will replace exam 1 if higher.
   
#. Open book, open notes.

#. 24 hours to do.

#. You will need an internet connection.
   
#. Submit to gradescope.   


Worked out book examples
------------------------

#. Section 7.2, p365.

   Note: Chebyshev inequality, Eqn 4.76, p 182. says

   :math:`P[ | X-m | \ge a ] \le  \sigma^2/ a^2`

   Eqn 7.20, p 366 is useful:

   :math:`P[ | M_n-\mu | < \epsilon ] \ge 1 - \sigma^2 / (n \epsilon^2)`

#. Example 7.10, 7.11, 7.12.