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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(0.1

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(0.1

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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For part a) i got .75 and .0208 

I am having trouble with part b), part c), and part d)

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(0.1 <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(0.1 <X<0.6). d) What is the expected proportion of the sampling region not covered by the plant?
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