SOCR EduMaterials Activities Discrete Probability examples
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*<math> Sd(X)= \sqrt{npq}=\sqrt{8\times 0.30 \times 0.70}=1.3</math> | *<math> Sd(X)= \sqrt{npq}=\sqrt{8\times 0.30 \times 0.70}=1.3</math> | ||
- | Below you can see | + | Below you can see SOCR snapshots for this example: |
<center>[[Image: SOCR_Activities_Binomial_Christou_example1.jpg|600px]]</center> | <center>[[Image: SOCR_Activities_Binomial_Christou_example1.jpg|600px]]</center> | ||
- | + | <center>[[Image: SOCR_Activities_Binomial_Christou_example1_2nd.jpg|600px]]</center> | |
* '''Example 2:''' | * '''Example 2:''' |
Revision as of 01:53, 25 April 2007
- Description: You can access the applets for the distributions at http://www.socr.ucla.edu/htmls/SOCR_Distributions.html .
- Example 1:
Find the probability that 3 out of 8 plants will survive a frost, given that any such plant will survive a frost with probability of 0.30. Also, find the probability that at least 1 out of 8 will survive a frost. What is the expected value and standard deviation of the number of plants that survive the frost?
- Answer:
- ,
Below you can see SOCR snapshots for this example:
- Example 2:
If the probabilities of having a male or female offspring are both 0.50, find the probability that a familiy's fifth child is their first son.
- Answer:
- P(X = 5) = 0.505 = 0.03125
- Example 3:
- a. ,
- b.
- Example 4:
- P(X = 5) = 0.740.3 = 0.07203,where X represents the number of trials.
- Example 5:
- Example 6:
- a.
- b. P(X=0)=.001,
0.001= 0.1^n n= 3
- Example 7: