7. 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 a = 6 and ß = 2. a) Compute E(X) and V(X). b) Compute P(X < 0.4). c) Compute P(0.1l

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 4E
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7. 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 a = 6 and ß = 2.
a) Compute E(X) and V(X).
b) Compute P(X < 0.4).
c) Compute P(0.1l<X<0.6).
d) What is the expected proportion of the sampling region not
covered by the plant?
Transcribed Image Text:7. 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 a = 6 and ß = 2. a) Compute E(X) and V(X). b) Compute P(X < 0.4). c) Compute P(0.1l<X<0.6). d) What is the expected proportion of the sampling region not covered by the plant?
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