A machine designed to fill 16 liter water bottles actually dispenses a random amount between 15 and 17 liters. The amount of water dispensed (x) is a uniform(15,17) variable. What is the probability that the bottle has less than 15.5 liters of water?

Question

anonymous · Answer

The the question has$$P(x<15.5)=P(15<x<15.5)$$

anonymous · Answer

Probability total from 15 to 17 is = 1
Uniform means  the total probability is proportional to the size of x from 15 toward 17/. Thus P(<16) = 0.5, P(<15/5) + 1/4.