When one thinks of the normal distribution the first thing that comes to mind is the bell curve and grades. While this is one example of a normal curve that is widely recognized, it is not the only one. Try to come up with a unique normal distribution that your classmates have not posted already. Explain your curve with all the details you could find such as the mean and standard deviation. What do the areas in the intervals µ - σ to µ + σ, µ - 2σ to µ + 2σ and µ - 3σ to µ + 3σ represent as far as areas under the normal curve? If you have the mean and standard deviation, calculate what the actual intervals are for your curve. Please include any citations on where you obtained your data for the curve.
it should be something like this but do not do this over movie tickets!!!
Seeing as I went to the movies over the weekend to see X-Men, which was great, I decided I would dig up some data on the movie industry for this post. Seeing as prices continue to climb, I thought a more accurate data set for a bell shaped curve would be to fous on actual ticket sales. The data reported in my table was collected from a website called The Numbers (2014), a site devoted to data around the movie industry. Seeing the trend downward in the past couple years but understanding the economy is stronger, I wonder what is the probabilty that 2014 will sell at least 1.40 mil tickets.
Year Tickets Sold (mil)
1995 1.22 Mean = 1.41
1996 1.27 Standard Deviation = 0.0847
1997 1.42
1998 1.45 z = 1.40 - 1.41
1999 1.44 0.0847
2000 1.39
2001 1.44 z = -0.1180
2002 1.58
2003 1.55 Standard Probability
2004 1.47 Table for -0.118 = 0.1151
2005 1.39
2006 1.41 Probability of selling
2007 1.40 > 1.40 mil Tickets = 1 - 0.1151
2008 1.39 = 88.50%
2009 1.42
2010 1.34
2011 1.28
2012 1.36
2013 1.34
Intervals
u-o to u+o 1.32 to 1.49
u-2o to u+2o 1.24 to 1.58
u-3o to u+3o 1.16 to 1.66
References
The Numbers (2014). Retrieved from http://www.the-numbers.com/market/
