SOCR Courses 2012 2013 Stat13 1 Lab3

Stats 13.1 - Laboratory Activity 3

You can access the applet for any of the SOCR distributions. 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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