The amount of time that a watch will run without having to be reset is a random variable having an exponential distribution with θ = 120 days. Find the probabilities that such a watch will (a) have to...

The amount of time that a watch will run without having to be reset is a random variable having an exponential distribution with θ = 120 days. Find the probabilities that such a watch will

(a) have to be reset in less than 24 days;

(b) not have to be reset in at least 180 days.