A BINOMIAL DISTRIBUTION APPLICATION

CLASS PROJECT INFORMATION PAGE 2.

DICE APPLICATIONSII. Presentation Of Data: Open your "notepad" (yourname).txt document with "notepad" in which you have one of the following sets of rows: For event A make 16 rows of data, for event B make 27 rows of data, and for event C make 12 rows of data. If you need to return to I. Introduction to see how to make (yourname).txt then LINK here.

Insert "BINOMIAL DISTRIBUTION APPLICATION DATA" in the upper left corner of (yourname).txt and your name in the upper right corner. Put the date under your name.

Insert descriptions of your events above the rows of data.

The following rows of data were copied from a "C. Toss 4 Dice; Event {ones}" (yourname).txt document.

1296     611 499 159 27 0 2
1296     599 512 165 19 1 1
.
.
.
1296     622 512 137 24 1 0

Each row above represents the last row of a "C. Toss 4 Dice; Event {ones}" table after pressing the "go" button.

Label the columns 1 through 6. To see how a data page looks after making these inserts, LINK here.

You can remove the seventh column of numbers now.

DICE APPLICATIONSIII. Calculations:    Finding the sum of each column is the first calculation to do. List that information under each column.

The column sums are then divided by the total number of tosses (first column sum) to get the number of events observed in the column divided by the total number of observations. Label these probability numbers the Experimental Probabilities.

To see how a data and calculation page looks after making these inserts, LINK here.

DICE APPLICATIONSIV. Presentation:    A bar graph and a few words about how these experimental probabilities will finish the experimental part of your project so your group may see, discuss and write a few words about A, B and C experiments.

Use ten lines per inch graph paper. Label five one inch wide columns that correspond to the column 2, column 3, column 4, , column 5 and column 6 of the calculations. Under the first column put "No Ones" and label the other four columns also. Let two inches in the vertical direction represent 0.10 probability units.

Write about what this data and probabilities in each column may help predict for other experiments and be ready to tell how your experiment is different to the other two of A, B or C.


DICE APPLICATIONSV. Binomial ( p + q )4 LINK
How to use a binomial to give Theoretical Probabilities for Experimental Probabilities in your A, B and C experiments is the last part of this project.




DICE APPLICATIONS DICE APPLICATIONS     A.     Toss 4 Dice; Event {ones, twos, threes}
    B.     Toss 4 Dice; Event {ones, twos}
    C.     Toss 4 Dice; Event {ones}
   

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William V. Thayer, PedLog

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