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Problem: For a lottery to be successful, the public must have confidence in its fairness. One of the lotteries in a state is a pick-3 lottery, where 3 random digits are drawn each day. A fair game depends on every value (0 to 9) being equally likely at each of the three positions. If not, then someone detecting a pattern could take advantage of that and beat the lottery. To investigate the randomness, we'll look at the data collected over a 32-week period. Although the winning numbers look like three-digit numbers, in fact, each digit is a randomly drawn numeral. We have 654 random digits in all. Is each of the digits from 0 to 9 equally likely? A table of the frequencies is shown to the right. Complete parts a through e.
Group
Count
%
0
62
9.480
1
57
8.716
2
64
9.789
3
66
10.092
4
75
11.468
5
56
8.563
6
72
11.009
7
74
11.315
8
67
10.245
9
61
9.327
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