This is a Group Assignment — only 1 member should upload your final presentation (all team members will automatically receive an email confirmation when uploaded.)
The presentation should sell the details and recommendations of your Team Project. The presentation is to consist of 6 – 8 PowerPoint slides in the body — with speaking notes on each slide. A cover slide and list of references slide are required (not included in the required slide-count above). This format is designed for a 15-minute time slot to your CEO and Board of Directors, so plan accordingly (e.g. 10 minutes of presentation plus 5 minutes of Q&A — that’s only about 1 minute per slide!).
Slides should be professional:
Use the notes below the slides to write in your script. This will help you prepare for your presentation ( not part of this class) and also benefit those who couldn’t attend the presentation and just get the slide-deck to read later.
1. Let Z denote the standard Normal distribution. Find P(Z>1.39). Use Excel to check your work. Show the Z-density function graph. Show and label the area corresponding to the probability and locate the value 1.39.
2. For the Z distribution the 59th percentile from the z-table and from Excel. Show the graph and label all features.
3. Suppose X~N(8,5).
(a) Find P(X < 6). Show or sketch the density (the bell curve) and label the relevant features. That is, make your graph look like my graphs in the lecture note.
(b) Find the 82nd percentile of X. Try this using the z-table and also the Excel function. Sketch the density and label relevant features.
4. Suppose the annual return on investment X follows a Normal distribution with a population average of 7.1% and a standard deviation of 14.9%. (This problem is based on an exercise I found in an MBA Finance textbook; I added the graphing questions.)
(a) Find the probability that X takes a negative value next year.
(b) Show or sketch the density function (bell-curve) for the above probability distribution. On your graph, show the answer to (a), labeling the major features.
(d) Find the 32nd percentile of the annual return on the above investment.
(e) Sketch or show the distribution a second time, then add and label the 32nd percentile you found above, as well as the corresponding probability region to this second graph. See graphs in the lecture note for examples.
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