Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter λ = 0.01362.
(a) What is the probability that the distance is at most 100 m?
(b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations?
(c) What is the value of the median distance? (Round your answer to two decimal places.)