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

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 = 2.
a. Compute E(X) and V(X).
b. Compute P(X ≤ .2).
c. Compute P(.2 ≤ X ≤ .4).
d. What is the expected proportion of the sampling region not covered by the plant?

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