Suppose the proportion X of surface area in a randomly selected qu adrat that is

Question

Suppose the proportion X of surface area in a randomly selected qu adrat that is covered by a certain plant has a standard beta distribution with -5 and = 4. (a) Compute Enx). (Round your answers to four decimal places) Ex)-556 o). 10247 (b) Compute PX S 0.2). (Round your answer to four decimal places.) (c) Compute P(o.2 s X s 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.)

Explanation / Answer

for given paramter

b) P(X<=0.2)=0.0104

c) P(0.2<X<0.6 )=0.5941 -0.0104 =0.5837

d)expected proportion not covered =1-E(X) =1-0.5556 =0.4444

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