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- BAYES PROBABILITIES
-
- THIS THEOREM USES BAYES THEOREM TO REVISE ESTIMATES OF
- THE PROBABILITIES OF THE OCCURRENCE OF THE VARIOUS STATES OF
- NATURE. INPUT TO THIS PROGRAM ARE THE PROBABILITIES OF A
- A FINITE AND USER SELECTABLE NUMBER OF STATES OF NATURE,
- THESE PROBABILITIES MUST SUM UP TO 1. IN ADDITION,
- THERE MUST BE INPUT FOR EACH STATE OF NATURE THE PROBABILITY
- OF A CERTAIN EVENT,SAY B, OCCURRING GIVEN THAT STATE OF
- IS THE TRUE STATE OF NATURE. THEN THE PROGRAM WILL COMPUTE
- THE CONDITIONAL PROBAILITIES OF EACH OF THE STATES OF NATURE
- BEING TRUE GIVEN THAT EVENT B OCCURS. THESE ARE CALLED
- POSTERIOR PROBABILITIES AND MAY BE USED IN DECISION MAKING
-
- PRESS ENTER TO BEGIN?
- ENTER PROBABILITIES OF POSSIBLE STATES OF NATURE 1 BY 1.
- THESE PROBABILITIES SHOULD ADD TO 1.
-
- ENTER PROB. ST. OF NATURE 1 (-1 TO END)? 12
- ENTER PROB. ST. OF NATURE 2 (-1 TO END)? 34
- ENTER PROB. ST. OF NATURE 3 (-1 TO END)? 56
- ENTER PROB. ST. OF NATURE 4 (-1 TO END)? -1
- PROBABILITIES SUM TO 102 THIS SHOULD BE STANDARDIZED
- TO SUM TO 1. ENTER 1 TO STANDARDIZE, 0 TO END? 1
- ENTER COND.PROB. OF EVENT B GIVEN ST.OF.NATURE 1 ? .145
- ENTER COND.PROB. OF EVENT B GIVEN ST.OF.NATURE 2 ? .267
- ENTER COND.PROB. OF EVENT B GIVEN ST.OF.NATURE 3 ? .389
- IS LINE PRINTER OUTPUT DESIRED(Y/N)? Y
- S OF N ORIG. PROB B POSTERIOR PROB
- PROB. GIVEN S OF N S OF N GIVEN B
- 1 0.118 0.145 0.053
- 2 0.333 0.267 0.278
- 3 0.549 0.389 0.668
- PRESS ENTER FOR ANOTHER COMPUTATION? 0
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