The time that customers wait the be served at the delicatess

The time that customers wait the be served at the delicatessen for a grocery store follows the uniform distribution between 0 and 7 minutes. What is the probability that a randomly selected customer will wait between 1 and 5 minutes at the deli?

Solution

Given X follows uniform distribution

f(x) = 1/7 for 0<x<7

So the probability that a randomly selected customer will wait more than 4 minutes at the deli is

P(X>4) = (7-4)/7 =0.4285714