SOCR EduMaterials Activities Exponential Distribution

From Socr

Jump to: navigation, search

This is an activity to explore the Exponential Distribution: Learn how to compute probabilities, densities, and percentiles.

  • Here is the shape of the exponential distribution (this is a snpashot from the SOCR website):


  • Exercise 1: Graph and print:
    • a. exp(0.2)
    • b. exp(1)
    • c. exp(10)
  • Exercise 2: Locate the maximum density for each one of these distributions.
  • Exercise 3: Find the height of the density at 3 values of X (one near 0, one near the mean, and one towards the tail of the distribution).
  • Exercise 4: Find one percentile for each of these distributions and record them on the printouts. Verify these percentiles using the formula we discussed in class:



x_p=\frac{ln(1-\frac{p}{100})}{-\lambda}

  • Exercise 5: Compute one cumulative probability for each one of these distributions, show it on the graph, and verify it with the formula:


P(X \le x)=1-e^{-\lambda x}





Translate this page:

(default)

Deutsch

Español

Français

Italiano

Português

日本語

България

الامارات العربية المتحدة

Suomi

इस भाषा में

Norge

한국어

中文

繁体中文

Русский

Nederlands

Ελληνικά

Hrvatska

Česká republika

Danmark

Polska

România

Sverige

Personal tools