The mean (or expected value) of a probability distribution can be calculated by first making the probability distribution. Then multiply the possible values of the Random Variable by their probabilities (X*P(X)) then add all the X*P(X) up.  On the TI 83/84 calculator you can  1) Enter the values of the RV's into List 1 (Press STAT, 1 (for Edit), highlist L1 and press CLEAR if needed, then enter values into the list) 2) Enter the probabilities into L2 (press > and then enter the values in the list. highlight L2 and press CLEAR first if needed). 3) 2nd MODE (to quit the list) 4) STAT, > (for CALC), select 1-Var Stats, List: L1 (2nd 1), FreqList: L2 (2nd 2).  Then calculate.  x¯ is the expected value (mean) of the frequency distribution.    A game is played. If you win you gain $4. If you lose you lose $10. The probability of winning is 0.747.  What is the expected value (mean)?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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The mean (or expected value) of a probability distribution can be calculated by first making the probability distribution. Then multiply the possible values of the Random Variable by their probabilities (X*P(X)) then add all the X*P(X) up. 

On the TI 83/84 calculator you can 

1) Enter the values of the RV's into List 1 (Press STAT, 1 (for Edit), highlist L1 and press CLEAR if needed, then enter values into the list)

2) Enter the probabilities into L2 (press > and then enter the values in the list. highlight L2 and press CLEAR first if needed).

3) 2nd MODE (to quit the list)

4) STAT, > (for CALC), select 1-Var Stats, List: L1 (2nd 1), FreqList: L2 (2nd 2). 

Then calculate.  x¯ is the expected value (mean) of the frequency distribution. 

 

A game is played. If you win you gain $4. If you lose you lose $10. The probability of winning is 0.747. 

What is the expected value (mean)?

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