3) On a state lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings.

Digit Frequency

0 33

1 17

2 25

3 30

4 31

5 28

6 24

7 25

8 32

9 25

Total 270

Please transfer data to Excel worksheet and calculate a table with an additional column for (O - E) where O is the Frequency and 27 is the Expected value:

4_ Based on information given on question 3, add another column to the Excel table, with (O-E)^2/E results, then add them to come up with the Chi Square Value:

Use the value for each row that you got from question 3, then square it by using ^2 and then divide by the Expected value of 27.

5_ How many degrees of freedom would you need to use here? ________