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Sagot :
Answer:
The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green
Step-by-step explanation:
Given
[tex]Pr(Green) = 40\%[/tex]
See attachment for plots
Required
Is the number generator fair or not
From the number line, we have the following outcomes:
[tex]0 \to 1[/tex]
[tex]1 \to 1[/tex]
[tex]2 \to 7[/tex]
[tex]3 \to 2[/tex]
[tex]8 \to 1[/tex]
Divide each outcome by 12, to get the proportion of green in each trial
[tex]0 \to 1[/tex] [tex]\to 8.33\%[/tex]
[tex]1 \to 1[/tex] [tex]\to 8.33\%[/tex]
[tex]2 \to 7[/tex] [tex]\to 58.33\%[/tex]
[tex]3 \to 2[/tex] [tex]\to 16.33\%[/tex]
[tex]8 \to 1[/tex] [tex]\to 8.33\%[/tex]
The above shows that the proportion of green in most of the trial is less than 40%
Hence, the number generator is not fair.
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