Question

John works at a phone bank. After getting off the phone with a particularly rude

customer, he looks at the wall and sees that it is 4:58 PM, and he has 2 minutes until his shift is

over. He knows that the time until the next phone call is an exponentially distributed random

variable with parameter lambda = 1 minute. He is really tired and hopes nobody calls before his shift

ends. What is the probability that he gets lucky and finishes his shift with no more calls?

Answer 1