# Question

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.

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

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

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