Question

A bus arrives every 10 minutes at a bus stop. It is assumed that the waiting time for a particular individual is a random variable with a continuous uniform distribution. What is the probability that the individual waits more than 7 minutes?

Answer 1

Let X be a random variable representing the waiting time for the bus, then X~U(0,10)

$P(X>7)={\frac {10-7} {10-0}}=0.3$