Standard beta distribution

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 = 5 and β = 4.

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

E(X) =
V(X) =

(b) Compute P(X ? 0.2). (Round your answer to four decimal places.)
(c) Compute P(0.2 ? X ? 0.6). (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.)