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expected proportion of the sampling region

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Suppose the porportion X of surface area in a randomly selected quadrate that is covered by a certain plant has a standard beta ditribution with alpha = 5 and beta = 2
a) Compute E(X) and V (X)
b) Compute p(X <= 0.2)
c) Compute P( 0.2 <= X <= 0.4)
d What is the expected proportion of the sampling region covered by the plant?

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The expected proportion of the sampling region is determined.

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Question:
Suppose the proportion X of surface area in a randomly selected quadrate that is covered by a certain plant has a standard beta distribution with alpha = 5 and beta = 2
a) Compute E(X) and V (X)
b) Compute p(X <= 0.2)
c) Compute P( 0.2 <= X <= 0.4)
d) What is the expected proportion of the sampling region covered by the plant?

Answer: First, this is the beta ...

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