A random variable follows a the continuous uniform distribut

A random variable follows a the continuous uniform distribution between 25 and 45. What is the probability that the observed value is exactly equal to 34?

Solution

Add per the definition of any continuous probability function, the probability at a point is not defined. But we can estimate it as P(33.5<x<34.5) = (34.5-33.5)/(45-25) = 1/20=0.05