Difference between revisions of "SOCR EduMaterials Activities Exponential Distribution"
| (One intermediate revision by the same user not shown) | |||
| Line 4: | Line 4: | ||
* '''Description''': You can access the applet for the [http://www.socr.ucla.edu/htmls/SOCR_Distributions.html Exponential Distributions] | * '''Description''': You can access the applet for the [http://www.socr.ucla.edu/htmls/SOCR_Distributions.html Exponential Distributions] | ||
| − | * Here is the shape of the exponential distribution (this is a snpashot from the SOCR website: | + | * Here is the shape of the exponential distribution (this is a snpashot from the SOCR website): |
<center>[[Image:SOCR_Activities_ExponentialDistribution_Christou_092206_Fig1.jpg |600px]]</center> | <center>[[Image:SOCR_Activities_ExponentialDistribution_Christou_092206_Fig1.jpg |600px]]</center> | ||
| Line 10: | Line 10: | ||
* '''Exercise 1:''' Graph and print: | * '''Exercise 1:''' Graph and print: | ||
| − | a. exp(0.2) | + | **a. exp(0.2) |
| − | + | **b. exp(1) | |
| − | b. exp(1) | + | **c. exp(10) |
| − | |||
| − | c. exp(10) | ||
* '''Exercise 2:''' Locate the maximum density for each one of these distributions. | * '''Exercise 2:''' Locate the maximum density for each one of these distributions. | ||
Latest revision as of 14:01, 8 July 2007
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\[ P(X \le x)=1-e^{-\lambda x} \]
- SOCR Home page: http://www.socr.ucla.edu
Translate this page:
