SOCR Courses 2010 2011 Stat13 1 Lab3
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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. 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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