SOCR Courses 2011 2012 Stat13 1 Lab3
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 and verify:
- P(1 <= X <= 3)
- P(1 \(\leq\) X <= 3)
- \(P(1 \leq X \leq 3)\)
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 = 30, p = 0.1 and then with n = 20,p = 0.9 (take a snapshot of each).
- Now, keep n = 30 but change p = 0.45. How about when n = 100, p = 0.1? Take another snapshot.
- What changes do you observe in the distribution as the parameters change? Write brief statements in this chart.
| Smaller n | Larger n | Smaller p | Larger p |
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- SOCR Home page: http://www.socr.ucla.edu
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