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March 28, 2017

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HENRY PROGRAMMED A CALCULATOR TO RANDOMLY DISPLAY A DIGIT FROM 0 THROUGH 9. THE RESULTS OF THE FIRST 50 DISPLAYS ARE SHOWN ON THE TABLE BELOW. WHAT IS THE POSITIVE DIFFERENCE BETWEEN THE THEORETICAL PROBABILITY AND EXPERIMENTAL PROBABILITY FOR GETTING A 9 IF EACH DIGIT HAS AN EQUAL CHANCE OF BEING DISPLAYED? EXPRESS ANSWER AS PERCENT.
DIGIT FREQUENCY
0 llllll
1 1111
2 111111
3 1111
4 111111
5 11111
6 111111
7 111
8 111
9 1111111
total 50
* 1 stands as tally mark

  • math *IMPORTANT - ,

    oops 0 is 0 111111
    its 6 tally marks

  • math *IMPORTANT - ,

    theory: 1/10 = .10
    actual: 7/50 = .14

    difference = .04 = 40% of .10

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