What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.)

Answer: The question is incomplete, here is the complete 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 distribution with parameter? = 0.01327. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.

Step-by-step explanation:

X = denote the distance (m)

P (X > x) = exp ( - 0.01342x)

Therefore, P (X 100) = e-0.01342 X 100 = 0.2613; the probability that the distance is at most 100 m

Similarly, P (X < = 200) = e-0.01342 X 200 = 0.0683; At most 200 m

P (100 < X <200) = 0.2613 - 0.0683 = 0.193; Between 100 and 200 m