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Suppose the proportion x of surface area in a randomly selected quadrant that is covered by a certain plant has a standard beta distribution with aplha = 4 and beta = 3:
E(X) = 0.5714
V(X) = 0.0306
a) Compute P(X less than or equal to 0.4) estimate to four decimal places
b) Compute P( 0.4 less than or equal to X less than or equal to 0.8) estimate to four decimal places
c) What is the expected proportion region not covered by the plant?
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