Answer :
The probability that a randomly selected event of washing dishes will take a person between 8 and 13 minutes is 66.66%.
It is given that the time it takes a person to wash the dishes is uniformly distributed between 6 minutes and 14 minutes.
That means that the number of possible minutes it will take will be 6, 7, 8 ,9, 10, 11, 12, 13, 14 That's a total of 9 separate minutes or intervals.
If it takes between 8 and 13 minutes, that is only 8 ,9, 10, 11, 12, 13 that's only 6 separate minutes or intervals.
The probability of it taking between 8 and 13 minutes is therefore [tex]\frac{6}{9} = \frac{2}{3}[/tex]
Or 0.6666666667 x 100 is 66.66%.
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