The time it takes a person to wash the dishes is uniformly distributed between 7 minutes and 16 minutes.

Question

The time it takes a person to wash the dishes is uniformly distributed between 7 minutes and 16 minutes. What is the probability that a randomly selected event of washing dishes will take a person between 8 and 11 minutes? Round your answer accurate to two decimal places.

Answer 1

The key here is that the probability is uniformly, that is, evenly, distributed along the interval [7,16]. That is a 9-minute interval. We are asking what the probability is that it's between 8 and 11. That's a 3-minute interval. All I have to do is 3/9 = 1/3 = 0.33