A pair of dice is rolled 500 times with the sums in Table 12.2 showing on the dice:
Sum
2
3
4
5
6
7
8
9
10
11
12
Observed
15
35
49
58
65
76
72
60
29
The expected number, if the dice are fair, are determined from the distribution of x as in Table 12.3.
x
p(x)
1/36
2/36
3/36
4/36
5/36
6/36
We have the observed and expected frequencies in Table 12.4.
Expected
13.9
27.8
41.7
55.6
69.5
83.4
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