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Let X denote the distance (m) that an animal moves from its birth site to the...

Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppos

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.) 


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