Normal Distribution” (Note: Please respond to one [1] of the following two [2] bulleted items)

·       Take a position on whether or not the total area under a normal distribution is infinite. Provide an example to support your response.

·       From the e-Activity, discuss whether or not the winning history of the team you selected follows a normal distribution. Provide a rationale to support your response.

·       http://www.baseball-reference.com/teams/, select a baseball team from the list of teams, and analyze the team’s historical win percentage. Be prepared to discuss.

It is now a little historical, but think back one of the highlights of 2016, was the World Series between two teams who had not been in a series since, almost no one could remember!  But let’s look a the stats. 

Look at the win loss for the Chicago Cubs and the Cleveland Indians.  The Chicago Cubs have played 21,056 games.  They have won 10,711 games and lost 10,188, for a 51% win to 49% loss.  The Cleveland Indians have play 18,119 games, won 9,191 and lost 8,837 for a 51% win to 49% loss record.  Repeated trials in a fair game binomial converge on the Normal of Empirical distribution.  We are only interest in the game as long as we are unsure of the outcome.  Like a coin toss each team faces a 50/50 chance of winning.

Real-Life Applications of Binomial Distribution” (Note: Please respond to one [1] of the following two [2] bulleted items)

·       Provide one (1) real-life example or application of a binomial distribution. Explain how the example matches the conditions for the binomial distribution.

·       Determine the conditions under which you would use a discrete probability distribution rather than a continuous probability distribution. Provide one (1) example to illustrate your reasoning.

So I have been taking tennis lessons.  In fact, in the week one discussion I gave you an example of a binomial statistics, I win 20% of the time at the net.  The options, are win the point, don’t win the point.  I am not s good at this aspect of the game, out of 100 times in a duel at the net, I will only win 20 times!  In short I stink!

At every practice I am obsessed with the binomial, over the net, not over the net.  When you hit the ball, either it goes over the net, defined in my case as success or it doesn’t, defined in my case as failure.  My current rate success is 90%.  So my current rate of failure is 10%.

So there is a second binomial with which I am obsessed, in or out.  Now if the ball goes over the net, the next measure of victory, is, does the ball stay in bounds, success, or does it go out of bounds, failure.  My chances of success and failure on the in out measure are not quite as good.  In bounds, 70% of time, so my failure rate is 30%.

Ok, I hit 500 balls, how many go in during each practice?

What makes this distribution discrete?