rface area in a randomly selected quadrat that is covered by a certain plant has a standard be V(X). (Round your answers to four decimal places.) ). (Round your answer to four decimal places.) ≤ 0.7). (Round your answer to four decimal places.) ed proportion of the sampling region not covered by the plant? (Round your answer to four de

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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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 a = 4 and ß = 2.
(a) Compute E(X) and V(X). (Round your answers to four decimal places.)
E(X) =
V(X) =
(b) Compute P(X ≤ 0.5). (Round your answer to four decimal places.)
(c) Compute P(0.5 ≤ x ≤ 0.7). (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.)
Transcribed Image Text: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 a = 4 and ß = 2. (a) Compute E(X) and V(X). (Round your answers to four decimal places.) E(X) = V(X) = (b) Compute P(X ≤ 0.5). (Round your answer to four decimal places.) (c) Compute P(0.5 ≤ x ≤ 0.7). (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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