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 distri- bution with a mean of 72.15 (as suggested in the article "Competition and Dispersal from Multiple Nests," Ecology, 1997: 873-883). a) Give the cdf of X and use it to answer the parts b and d. b) Give the 25th, 50th and 75th percentiles. c) What is the probability that the distance is less than 150 meters? d) What is the probability that the distance is between 150 meters and 250 meters?