Question

Suppose the proportion X of surface area in a randomly selected quadrat that is covered by a certain plant has a standard beta distribution with α = 4 and β = 2.

(a) Compute E(X) and V(X). (Round your answers to four decimal places.)

E(X) =	0.6667
V(X) =	0.0317

(b) Compute P(X ≤ 0.2). (Round your answer to four decimal places.)


(c) Compute P(0.2 ≤ X ≤ 0.5). (Round your answer to four decimal places.)


(d) What is the expected proportion of the sampling region not covered by the plant? (Round your answer to four decimal places.)

Answer 1