TI-83 / TI-84 Games and Programs

Given a probability distribution, the mean, variance, standard deviation, and coefficient of variance are found.

Find-Stats-From-Probability-Distribution Program Walkthrough:

1. 

   Enter the total number of values of a random variable and its corresponding probabilities. In simple terms, enter the total number of combinations possible of an event happening. Let’s say a coin is tossed four times. The total number of possible combinations is five: no heads, one head, two heads, three heads, or all four heads. Note that order of events does not matter. Also, this program works for any total number of values.

2. 

   The first event involves no heads. The probability of this happening is 1 out of 16. So, enter zero for X and 1/16 for PROB.

3. 

   The second event involves one head. The probability of this happening is 1 out of 4. So, enter one for X and 1/4 for PROB. Note that the recent values are displayed so that you don’t get lost in a long list of events.

4. 

   The third event involves two heads. The probability of this happening is 3 out of 8. So, enter two for X and 3/8 for PROB. Note that the recent values are displayed so that you don’t get lost in a long list of events.

5. 

   The fourth event involves three heads. The probability of this happening is 1 out of 4. So, enter three for X and 1/4 for PROB. Note that the recent values are displayed so that you don’t get lost in a long list of events.

6. 

   The fifth event involves four heads. The probability of this happening is 1 out of 16. So, enter four for X and 1/16 for PROB. Note that the recent values are displayed so that you don’t get lost in a long list of events.

7. 

   The mean, variance, standard deviation, and coefficient of variance are calculated. So if you did infinite sets of tossing a coin four times, two heads would be the average (mean) result, plus or minus one head (standard deviation). In this case, the variance equals the standard deviation.

Download Find-Stats-From-Probability-Distribution Program »

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