Rewrite the function by completing the square. g(x) = 2x² – 70 +5
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See the attached picture for the histogram. To accomplish this manually, we would have to find the minimum and maximum (1 to 18), decide on the bin size (I used 1 here), and list the frequency of each result. In this case:
1-2 wins - 2
3 wins - 1
4 wins - 2
6 wins - 1
7 wins - 1
8 wins - 1
12 wins - 1
13 wins - 1
15 wins - 2
16 wins - 1
18 wins - 1
Then these are plotted on the histogram.
1-2 wins - 2
3 wins - 1
4 wins - 2
6 wins - 1
7 wins - 1
8 wins - 1
12 wins - 1
13 wins - 1
15 wins - 2
16 wins - 1
18 wins - 1
Then these are plotted on the histogram.