SOCR Courses 2008 2009 Stat13 1 Lab3

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m ( Stats 13.1 - Laboratory Activity 3)
m ( Stats 13.1 - Laboratory Activity 3)
 
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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 [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.
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===Binomial Distribution Activity ===
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===[http://socr.ucla.edu/htmls/dist/Binomial_Distribution.html Binomial Distribution] Activity ===
==== Problem 1 ====   
==== Problem 1 ====   
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* P(1 <= x <= 3)
* P(1 <= x <= 3)
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==== problem 3 ====   
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==== Problem 3 ====   
* X~Binom(10,.9)
* X~Binom(10,.9)
* Find and verify:
* Find and verify:

Current revision as of 02:10, 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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