. 3/5 points I Previous Answers DevoreStat8 4.E.084 My Notes Ask Your Teacher Su

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. 3/5 points I Previous Answers DevoreStat8 4.E.084 My Notes Ask Your Teacher 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 a = 4 and 2. (a) Compute E(X) and Vx). (Round your answers to four decimal places.) E(X)= 0.6667 V(X)= 0.0317 0.4). (Round your answer to four decimal places.) (b) Compute P(X 0.1792 (c) Compute P(0.4 sX 0.6). (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.) 0.3333

Explanation / Answer

from given distribution with paramter 4,2:

b) P(X<0.4) =0.0870

c) P(0.4<X<0.6) =F(0.6)-F(0.4) =0.3369-0.0870 =0.2499

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