Question: H. R. Pulliam found that the time (in minutes) required by a predator to find a prey is a random variable that is exponentially distributed,

H. R. Pulliam found that the time (in minutes) required by a predator to find a prey is a random variable that is exponentially distributed, with μ = 25.

(a) According to this distribution, what is the longest time within which the predator will be 90% certain of finding a prey?
(b) What is the probability that the predator will have to spend more than 1 hour looking for a prey?

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