SOCR EduMaterials Activities Exponential Distribution

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

• Description: You can access the applet for the Exponential Distributions

• 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\[ P(X \le x)=1-e^{-\lambda x} \]

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• SOCR Home page: http://www.socr.ucla.edu

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