84. Suppose the proportion X of surface area in a randomly selected quadrate that is covered by...

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84. Suppose the proportion X of surface area in a randomly selected quadrate that is covered by a certain plant has a standard beta distribution with   5 and   2.

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

b. Compute P(X  .2).

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

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

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