.. title: Engineering Probability Homework 8 due Mon 2018-04-09 2359 EST
.. slug: homework08
.. date: 2018-04-02
.. tags: mathjax
.. category: homework
.. link: 
.. description: 
.. type: text

   
How to submit
-------------

Submit to LMS; see details in syllabus.


Questions
---------

All questions except #1 are from the text.

Each part of a question is worth 5 points.

#. (15 pts) This exercise shows how the sum of independent r.v. start looking like a normal distribution.

   a. Compute the pdf of the sum of 2,3,4, and 5 independent r.v. that are each U[0,1].
   #. Compute the mean and standard deviation of each pdf.
   #. For each sum, plot the pdf and overlay it with a plot of the pdf of the normal distribution with the same mean and standard deviation.


#. (30 pts) Textbook problem 5.1 on page 288 - 6 parts: a, b, c, da, db, dc.

#. (20 pts) Problem 5.2.  (c) is 2 parts.  Do all parts.

#. (20 pts) Problem 5.3  (c) is 2 parts.   Do all parts.

#. (35 pts) Problem 5.12.   (d) has 4 parts, giving 7 parts total.

#. (35 pts) Problem 5.13.  (d) has 3 parts, giving 7 total.
   

Total:  155.