Question

Suppose you arrive at a bus stop and the bus arrives every 30 minutes. Given that you arrive at time at the bus stop was uniform random, find the probability that you will wait between 25 to 30 minutes.

Answer 1

0.167

Explanation:

Arrival time of the bus = 30 minutes

We have to find the probability of waiting between 25 to 30 minutes.

From this we have that,

a = 0

b = 30

The solution can be expressed as;

P(25<x<30) = (30 - 25) / (30 - 0)

P(25<x<30) = 5/30

P(25<x<30) = 0.167

0.167 is the probability of waiting between 25 minutes and 30 minutes.