The time between goals (in minutes) for the Wolves soccer team in the English Premier League during a recent season can be approximated by an exponential distribution with a = 1/90.

(a) The Wolves scored their first goal of the season 71 minutes into their first game. Find the probability that the time for a goal is no more than 71 minutes.
(b) It was 499 minutes later (in game time) before the Wolves scored their next goal. Find the probability that the time for a goal is 499 minutes or more.