.. title: Engineering Probability Class 17 Thu 2022-03-17
.. slug: class17
.. date: 2022-03-17
.. tags: class, exam
.. link: 
.. description: 
.. type: text
.. has_math: true

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



Chapter 5, Two Random Variables, 3
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#. Example 5.9, page 242.

#. Example 5.16, page 252.

#. Example 5.17, page 253.
   


Sect 5.5 Independence,  page 254
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#. Example 5.19 on page 255.

#. Example 5.20, page 255.


#. Independence: Example 5.22 on page 256.  Are 2 normal r.v. independent for different values of $\\rho$ ?

Sect 5.6 Joint moments, p 257
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#. Example 5.24, sum.
   
#. Example 5.25, product.
   
#. Example 5.26 page 259.  Covariance of independent variables.

#. Correlation coefficient.

#. Example 5.27 page 260 uncorrelated but dependent.  Correlation measures *linear dependence*.  If the dependence is more complicated, the variables may be dependent but not correlated.


Sect 5.7 Conditional page 261
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#. Example 5.29 loaded dice
   
#. 5.6.2 Joint moments etc

   #. Work out for 2 3-sided dice.
   #. Work out for tossing dart onto triangular board.

#. Example 5.30.

#. Covariance, correlation coefficient.