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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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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