##### Question

In: Statistics and Probability

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

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 α = 5 and β = 3.

(a) Compute E(X) and V(X). (Round your answers to four decimal places.)

E(X) =

V(X) =

b) Compute P(X ≤ 0.6). (Round your answer to four decimal places.)

(c) Compute P(0.6 ≤ X ≤ 0.8). (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.)

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