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Suppose the proportion X of surface area in a randomly selected quadrat that is covered by...

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) =
V(X) =


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


(c) Compute P(0.5 ≤ X ≤ 0.8). (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.)

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