This Checklist is to help you keep track of all the work you are required to complete the fifth week (9/29/2021-10/5/2021). The videos and forums are available immediately.  Some of the assignments might not be available until 9/28/2021 at 11:55PM. 

Complete all of the following in order.  Please keep in mind, some of the items below have multiple videos to watch/assignments to complete.  All of these assignments are due by October 5, 2021 at 11:55PM Eastern. If you have any questions, please let Professor McColgan know.

A) 10 Coin Flips (Again)
For a second time, flip a coin ten times and record the number of heads you observe.  In the appropriate forum, reply to your previous coin flip forum post from and answer the following questions:

Did you get the same number of heads as you did last time?
Are you surprised by your answer to number 1?
What do you think the average number of heads would be when flipping a coin 10 times? If we were to keep flipping the coin 10 times per week and posting our answers and found the average at the end, what do you predict the average would be?  Explain your answer. 
Grading Rubric: You will earn one point for each question if you answer using complete sentences.  You will earn a second point for each question if you answer is relevant and/or correct.

B) Discrete Probability Distributions
Discrete Probability distributions are used to describe discrete random variables.  Discrete random variables are those which we can count.  Please complete the following in order to learn more:

MAT 120 CA - INTRO TO STATISTICS
Watch this video introduction on Discrete Random Variables.
Watch this video on a discrete probability distribution when not all outcomes are equally likely (Roulette Wheels).  
Watch this video on determining if something is a probability distribution.  
Watch this video on expected value. 
Watch this video on Lottery Tickets: Average Loss.
Log into www.myopenmath.com and complete the assessment "31: Discrete Probability Distributions".  This can be found in unit 4 of our MyOpenMath page.
C) Binomial Distribution
Statisticians noticed that different types of probability questions could be grouped into various categories which helped solve problems.  These categories are called "distributions."  So far, we've seen that quantitative variables can be broken up into discrete variables and continuous variables. Each of these can also be broken up further.  We will concentrate on a specific type of discrete variable: the binomial distribution.  Please complete the following in order to learn more:

Binomial Distributions have the property that all their trials are independent.  Watch this video for an explanation of what it means to be independent vs dependent in probability. 
Watch this video for an introduction to the binomial distribution.
We will be using technology to solve Binomial Distribution Problems. Watch the following in order:
Watch just first three minutes of this video.  OPTIONAL: If you have a TI-84 you may watch the rest of the video to learn how to solve these problems with the TI-84
Watch this Binomial Distribution Example 1 Using Spreadsheets 
Watch this Binomial Distribution Example 2 Using Spreadsheets 
Watch this Binomial Distribution Example 3 Using Spreadsheets 
Watch this Binomial Distribution Example 4 Using Spreadsheets 
Watch this Binomial Distribution Example 5 Using Spreadsheets 
Watch this Binomial Distribution Example 6 Using Spreadsheets 
Watch this Binomial Distribution Example 7 Using Spreadsheets and wrap up of Binomial Distribution
Log into www.myopenmath.com and complete the assessment "32: Binomial Distribution." This can be found in unit 4 of our MyOpenMath page.
Watch this video on the Binomial Distribution to the Normal Distribution: Simulated Coin flips.
Optional: If you would like to download the file Professor McColgan uses in this video, you may do so here: FallStudentsRobotCoinFlipSimulation.xlsx
Complete the Spreadsheet Assessment: Graphing the Binomial Distribution. This can be found in the Coursework Tab on our MyRCC page.    
In the appropriate forum, please answer the following question: 
When dealing with the binomial distribution, why are the possible values for the random variable always 0, 1, 2, 3,...,n where n is the number of trails of sample size?  Why can't we use negatives values for n?  Why can't we use fractions for n?  Why can't we use numbers greater than n?
Optional Videos
Binomial Distribution Calculations can also be preformed with TI Graphing Calculators.  These videos were done for the TI-84 series.  The TI-83 is very similar.  If you have one of these devices and wish to know how to use them, please watch the following:

Watch the rest of the Intro to Binomial Distribution Problems above.
Binomial Distribution Example 2: Binomial PDF using TI-84 (Ti-84's version of "FALSE")
Binomial Distribution Example 3 Binomial PDF using TI-84 (Ti-84's version of "FALSE")
Binomial Distribution Example 4 Binomial PDF using TI-84 (Ti-84's version of "FALSE")
Binomial Distribution Example 5 Binomial CDF using TI-84 (Ti-84's version of "TRUE")
Binomial Distribution Example 6 Binomial CDF using TI-84 (Ti-84's version of "TRUE"