TI-89 Titanium - Probability - Expected Value

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SUMMARY

The TI-89 Titanium calculator can efficiently compute the Expected Value of multiple outcomes using the TwoVar() function. This function allows users to input a matrix of outcomes and their corresponding probabilities, significantly simplifying the calculation process. Users can create a user-defined function to handle matrices, enabling quick calculations of expected values without manual summation. The discussion highlights the importance of matrix manipulation for statistical computations on the TI-89 Titanium.

PREREQUISITES
  • Understanding of probability concepts, specifically Expected Value
  • Familiarity with matrix operations on the TI-89 Titanium
  • Knowledge of user-defined functions in TI-89 programming
  • Basic proficiency in using the TwoVar() function
NEXT STEPS
  • Explore advanced matrix operations on the TI-89 Titanium
  • Learn how to create and utilize user-defined functions on the TI-89
  • Study probability distributions and their applications in statistics
  • Investigate other statistical functions available on the TI-89 Titanium
USEFUL FOR

This discussion is beneficial for students, educators, and professionals in statistics or mathematics who utilize the TI-89 Titanium for probability calculations and matrix operations.

rekshaw
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EDIT: I found the solution, it can be done using the TwoVar() function on the TI-89 and it gives you a whole lot more than just the expected value. thanks anyways

Hello everyone! :)

I hope I will get an answer for this!

As a USER-DEFINED function I would like to be able to calculate the Expected Value of n outcomes with their respective probabilities (also in a single matrix)

it should look something like this:

\begin{pmatrix}<br /> <br /> 1 &amp; 1/6 \\<br /> 2 &amp; 1/6 \\<br /> 3 &amp; 1/6 \\<br /> 4 &amp; 1/6 \\<br /> 5 &amp; 1/6 \\<br /> 6 &amp; 1/6 \end{pmatrix}

To find the expected value I would need to do:

(1 \times 1/6) + (2 \times 1/6) + ... + (6 \times 1/6) = E(X)

Basically, multiply each outcome with its probability and finally sum the whole lot...

IDEALLY...I would like to be able to make a single 2 x n matrix with outcomes and probabilities side-by-side, store it as A and be able to do:
Code:
expval(A)

or...which is faster to type: make a n*2 matrix!

Anyways...sorry for the long post, any help will be much appreciated!
 
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