Suppose the proportion X of surface area in a randomly selec

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 alpha = 5 and beta = 2

a. Compute E(X) and V(X)

b. Compute P(<= .2)

c. Compute P(.2<= X <= .4)

d. What is the expected proportion of the sampling region not covered by the plant?

Solution

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