SOCR Courses 2008 2009 Stat13 1 Lab3
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== [[SOCR_Courses_2008_2009_Stat13_1 | Stats 13.1]] - Laboratory Activity 3== | == [[SOCR_Courses_2008_2009_Stat13_1 | Stats 13.1]] - Laboratory Activity 3== | ||
| - | + | 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 distributions at http://www.socr.ucla.edu | + | |
===Binomial Distribution Activity === | ===Binomial Distribution Activity === | ||
| - | ==== 1 ==== | + | ==== Problem 1 ==== |
| - | X~Binom(10,.5) | + | * X~Binom(10,.5) |
| - | Find: P(x = 3),E(X), sd(X) and verify them with the formulas discussed in class. | + | * Find: P(x = 3),E(X), sd(X) and verify them with the formulas discussed in class. |
| - | + | ||
| - | + | ||
| - | + | ||
| - | P(1 <= x <= 3) | + | ==== Problem 2 ==== |
| + | * X~Binom(10,.1) | ||
| + | * Find and verify: | ||
| + | * P(1 <= x <= 3) | ||
| - | ==== 3 ==== | + | ==== problem 3 ==== |
| - | X~Binom(10,.9) | + | * X~Binom(10,.9) |
| - | Find and verify: | + | * 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) | |
| - | + | ||
| - | + | ||
| - | + | ||
| - | + | ||
| - | + | ||
| - | ==== 4 ==== | + | |
| - | X~Binom(30,.1) | + | |
| - | + | ||
| - | Find and verify: | + | |
| - | + | ||
| - | P(x > 2) | + | |
===Distribution Comparison=== | ===Distribution Comparison=== | ||
| - | + | * Graph and comment on the shape of the [http://socr.ucla.edu/htmls/dist/Binomial_Distribution.html binomial distribution] with n = 20, p = 0.1 and then with n = 20,p = 0.9 (take a snapshot of each). | |
| - | Graph and comment on the shape of binomial with n = 20,p = 0.1 and n = 20,p = 0.9 | + | * Now, keep n = 20 but change p = 0.45. How about when n = 80,p = 0.1? Take another snapshot. |
| - | (take a snapshot of each). Now, keep n = 20 but change p = 0.45. How about when n = | + | * 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. |
| - | 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. | + | |
Revision as of 02:09, 21 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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