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

Question:

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 with parameter λ = .01386 (as suggested in the article "Competition and Dispersal from Multiple Nests," Ecology, 1997: 873-883).
a. What is the probability that the distance is at most 100m? At most 200m? Between 100 and 200m?
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?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...