Question

The time it takes me to wash the dishes is uniformly distributed between 5 minutes and 12 minutes. What is the probability that washing dishes tonight will take me between 6 and 8 minutes

Answer 1

0.2857

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