1. 2/5 points I Previous Answers DevoreStat9 4.E.084 My Notes Suppose the propor

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1. 2/5 points I Previous Answers DevoreStat9 4.E.084 My Notes 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 and B 3. 4 (a) Compute E(X) and V(X). (Round your answers to four decimal places.) EX-5714 vx) 0.0306 (b) Compute P(X s 0.5). (Round your answer to four decimal places.) 5443X (c) Compute P(0.5 s X s 0.8). (Round your answer to four decimal places.) 3651 (d) What is the expected proportion of the sampling region not covered by the plant? (Round your answer to four decimal places.) 0714x Need Help? ReadITaik to Tuter

Explanation / Answer

From the statistical software output, the required probabilities will be:

b) P(X < 0.5) = 0.3438

c) P(0.5 < X < 0.8) = 0.5574

d) Expected proportion that is not covered = 1 - E(X) = 1 - 0.5714 = 0.4286

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