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 = 3.  Compute P(X ≤ 0.4). (Round your answer to four decimal places.)  Compute P(0.4 ≤ X ≤ 0.6). (Round your answer to four decimal places.) What is the expected proportion of the sampling region not covered by the plant? (Round your answer to four decimal places.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 = 3.


 Compute P(X ≤ 0.4). (Round your answer to four decimal places.)

 Compute P(0.4 ≤ X ≤ 0.6). (Round your answer to four decimal places.)

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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