Difference between revisions of "SOCR Courses 2008 2009 Stat13 1 Lab3"
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You can access the applet for any of the [http://www.socr.ucla.edu/htmls/SOCR_Distributions.html SOCR distributions] at http://www.socr.ucla.edu/htmls/SOCR_Distributions.html. Use SOCR to graph the following distributions and answer the questions below. Also, comment on the shape of each one of these distributions. | You can access the applet for any of the [http://www.socr.ucla.edu/htmls/SOCR_Distributions.html SOCR distributions] at http://www.socr.ucla.edu/htmls/SOCR_Distributions.html. Use SOCR to graph the following distributions and answer the questions below. Also, comment on the shape of each one of these distributions. | ||
| − | + | ===[http://socr.ucla.edu/htmls/dist/Binomial_Distribution.html Binomial Distribution] Activity === | |
| − | ===Binomial Distribution Activity === | ||
==== Problem 1 ==== | ==== Problem 1 ==== | ||
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* P(1 <= x <= 3) | * P(1 <= x <= 3) | ||
| − | ==== | + | ==== Problem 3 ==== |
* X~Binom(10,.9) | * X~Binom(10,.9) | ||
* Find and verify: | * Find and verify: | ||
Latest revision as of 21:16, 20 October 2008
Contents
Stats 13.1 - Laboratory Activity 3
You can access the applet for any of the SOCR distributions at http://www.socr.ucla.edu/htmls/SOCR_Distributions.html. Use SOCR to graph the following distributions and answer the questions below. Also, comment on the shape of each one of these distributions.
Binomial Distribution Activity
Problem 1
- X~Binom(10,.5)
- Find: P(x = 3),E(X), sd(X) and verify them with the formulas discussed in class.
Problem 2
- X~Binom(10,.1)
- Find and verify:
- P(1 <= x <= 3)
Problem 3
- X~Binom(10,.9)
- Find and verify:
- P(5 < x < 8)
- P(x < 8)
- P(x <= 7)
- P(x >= 9)
Problem 4
- X~Binom(30,.1)
- Find and verify: P(x > 2)
Distribution Comparison
- Graph and comment on the shape of the binomial distribution with n = 20, p = 0.1 and then with n = 20,p = 0.9 (take a snapshot of each).
- Now, keep n = 20 but change p = 0.45. How about when n = 80,p = 0.1? Take another snapshot.
- What changes do you observe in the distribution as the parameters change? Watch both the change in shape as well as the changing number on the x and y axes.
| Smaller n | Larger n | Smaller p | Larger p |
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- SOCR Home page: http://www.socr.ucla.edu
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