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5. Let x be 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 -0.01386 m1 a) Name the distribution you will use to model this situation, and explain why (give more than just because its named in the problem!). b) What is the mean distance for this population of banner-tailed kangaroo rats? c) What proportion of distances in this distribution are at most 80 m? d) What proportion of distances are at least 60 m? e) What is the median distance?

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