Answer:
0.2857
Step-by-step explanation:
We define the time it takes to do these dishes to be uniformly distributed between the time 5 minutes and 12 minutes.
a = 5 minutes
b = 12 minutes
Probability of tonight's dish washing being between 6 and 8 minutes
P(6<X<8)
= 8-6/b-a
= 2/12-5
= 2/7
= 0.2857
The probability it will be better 6 and 8 minutes is therefore 0.2857
