SOCR Courses 2009 2010 Stat13 1 Lab3

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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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