Difference between revisions of "SOCR Courses 2011 2012 Stat13 1 Lab3"
(→Stats 13.1 - Laboratory Activity 3) |
(→Binomial Distribution Activity) |
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==== Problem 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. |
==== Problem 2 ==== | ==== Problem 2 ==== | ||
| − | * X~Binom(10,.1) | + | * X ~ Binom(10, .1) |
* Find and verify: | * Find and verify: | ||
* P(1 <= x <= 3) | * P(1 <= x <= 3) | ||
==== Problem 3 ==== | ==== Problem 3 ==== | ||
| − | * X~Binom(10,.9) | + | * X ~ Binom(10, .9) |
* Find and verify: | * Find and verify: | ||
* P(5 < x < 8) | * P(5 < x < 8) | ||
| Line 23: | Line 23: | ||
==== Problem 4 ==== | ==== Problem 4 ==== | ||
| − | * X~Binom(30,.1) | + | * X ~ Binom(30, .1) |
* Find and verify: P(x > 2) | * Find and verify: P(x > 2) | ||
Revision as of 17:43, 31 January 2012
Contents
Stats 13.1 - Laboratory Activity 3
You can access the applet for any of the SOCR distributions (http://www.socr.ucla.edu/htmls/SOCR_Distributions.html). Use SOCR to graph the following distributions and answer the questions below.
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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