Difference between revisions of "SOCR Courses 2011 2012 Stat13 1 Lab3"
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==== Problem 1 ==== | ==== Problem 1 ==== | ||
| − | * X~Binom(10,.5) | + | * X ~ Binom(10, .5) |
| − | * Find: P( | + | * Find: P(X = 3), E(X), sd(X) from the SOCR output, and verify them with the formulas discussed in class. |
==== Problem 2 ==== | ==== Problem 2 ==== | ||
| − | * X~Binom(10,.1) | + | * X ~ Binom(10, .1) |
| − | * Find | + | * Find P(1 ≤ X ≤ 3) from SOCR, and verify using the binomial formula. |
| − | |||
==== 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) | ||
* P(x < 8) | * P(x < 8) | ||
| − | * P(x | + | * P(x ≤ 7) |
| − | * P(x | + | * P(x ≥ 9) |
==== Problem 4 ==== | ==== Problem 4 ==== | ||
| − | * X~Binom(30,.1) | + | * X ~ Binom(30, .1) |
* Find and verify: P(x > 2) | * 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 = | + | * Graph and comment on the shape of the [http://socr.ucla.edu/htmls/dist/Binomial_Distribution.html binomial distribution] with n = 30, p = 0.1 and then with n = 20, p = 0.9 (take a snapshot of both). |
| − | * Now, keep n = | + | * Now, keep n = 30 but change p = 0.45. Now, let n = 100, p = 0.1. Take a snapshot of both. |
| − | * What changes do you observe in the distribution as the parameters change? | + | * What changes do you observe in the distribution as the parameters change? Write brief statements about the changes in a chart like this. |
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Latest revision as of 18:21, 1 February 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) from the SOCR output, and verify them with the formulas discussed in class.
Problem 2
- X ~ Binom(10, .1)
- Find P(1 ≤ X ≤ 3) from SOCR, and verify using the binomial formula.
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 = 30, p = 0.1 and then with n = 20, p = 0.9 (take a snapshot of both).
- Now, keep n = 30 but change p = 0.45. Now, let n = 100, p = 0.1. Take a snapshot of both.
- What changes do you observe in the distribution as the parameters change? Write brief statements about the changes in a chart like this.
| Smaller n | Larger n | Smaller p | Larger p |
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- SOCR Home page: http://www.socr.ucla.edu
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