Use the applet to the right to help you answer the following questions. Adjust the sliders as needed.

Example: Flip a fair coin 4 times and let X count the number of tails showing.

Set up the applet at the right to represent the above scenario.

1. What is the value of n?

2. What is the value of p?

3. Describe the basic shape of this probability distribution of X shown in your graph.

4. Would you expect all Binomial distributions to have this basic shape? (Yes or No)

5. If you said "yes" for Question 4, explain your reasoning. If you said "no" for Question 4, then explain how you think the shape might change.

6. Slowly, change the values of the slider that represents the number of trials, “n.” Describe what happens to the width, height, and shape of the distribution as you make these changes.

7. Return the value of "n" to 10. Slowly, change the value of the slider that represents the probability of success, “p.” Describe what happens to the width, height and shape of the distribution as you make these changes.

8. Change the value of "n" to 30. Slowly, change the probability of success, "p", using the slider. Describe what happens to the width, height and shape of the distribution as you make these changes.

9. Change the value of "n" to 60. Slowly, change the probability of success, "p", using the slider. Describe what happens to the width, height and shape of the distribution as you make these changes

10. Now, continue to maneuver the sliders for "n" and "p" until you believe you understand how the basic shape of binomial distribution works based on each of these parameters. Describe the conclusion of what you have discovered.

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Which class and teacher do you have (e.g if you have Dr. Rowell for 3150, put 3150Rowell)?


Semeste/year (e.g. Spring 07)