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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 = 5 and ß = 2. (a) Compute E(X) and V(X). (Round your answers to four decimal places.) E(X)= 0.7143 V(X) = 0.0255 (b) Compute P(X ≤ 0.6). (Round your answer to four decimal places.) 0.2323 X (c) Compute P(0.6 ≤ x ≤ 0.9). (Round your answer to four decimal places.) 0.6525 (d) What is the expected proportion of the sampling region not covered by the plant? (Round your answer to four decimal places.) 0.2857 Need Help? Read It

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 = 5 and ß = 2. (a) Compute E(X) and V(X). (Round your answers to four decimal places.) E(X)= 0.7143 V(X) = 0.0255 (b) Compute P(X ≤ 0.6). (Round your answer to four decimal places.) 0.2323 X (c) Compute P(0.6 ≤ x ≤ 0.9). (Round your answer to four decimal places.) 0.6525 (d) What is the expected proportion of the sampling region not covered by the plant? (Round your answer to four decimal places.) 0.2857 Need Help? Read It

Calculus For The Life Sciences
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.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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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 = 5 and ß = 2. (a) Compute E(X) and V(X). (Round your answers to four decimal places.) E(X) = 0.7143 V(X) = 0.0255 (b) Compute P(X ≤ 0.6). (Round your answer to four decimal places.) 0.2323 X (c) Compute P(0.6 ≤ X ≤ 0.9). (Round your answer to four decimal places.) 0.6525 (d) What is the expected proportion of the sampling region not covered by the plant? (Round your answer to four decimal places.) 0.2857 Need Help? Read It
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 = 5 and ß = 2. (a) Compute E(X) and V(X). (Round your answers to four decimal places.) E(X) = 0.7143 V(X) = 0.0255 (b) Compute P(X ≤ 0.6). (Round your answer to four decimal places.) 0.2323 X (c) Compute P(0.6 ≤ X ≤ 0.9). (Round your answer to four decimal places.) 0.6525 (d) What is the expected proportion of the sampling region not covered by the plant? (Round your answer to four decimal places.) 0.2857 Need Help? Read It
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