Solution Found!
A small-business Web site contains 100 pages and 60%, 30%,
Chapter 5, Problem 6E(choose chapter or problem)
A small-business Web site contains 100 pages and 60%, 30%, and 10% of the pages contain low, moderate, and high graphic content, respectively. A sample of four pages is selected without replacement, and X and Y denote the number of pages with moderate and high graphics output in the sample. Determine:
(a) \(f_{x y}(x, y)\) (b) \(f_{x}(x)\)
(c) \(E(X)\) (d) \(f_{y \mid 3}(y)\)
(e) \(E(Y \mid X=3)\) (f) \(V(Y \mid X=3)\)
(g) Are X and Y independent?
Equation transcription:
Text transcription:
f_{x y}(x, y)
f_{x}(x)
E(X)
f_{y \mid 3}(y)
E(Y \mid X=3)
V(Y \mid X=3)
Questions & Answers
QUESTION:
A small-business Web site contains 100 pages and 60%, 30%, and 10% of the pages contain low, moderate, and high graphic content, respectively. A sample of four pages is selected without replacement, and X and Y denote the number of pages with moderate and high graphics output in the sample. Determine:
(a) \(f_{x y}(x, y)\) (b) \(f_{x}(x)\)
(c) \(E(X)\) (d) \(f_{y \mid 3}(y)\)
(e) \(E(Y \mid X=3)\) (f) \(V(Y \mid X=3)\)
(g) Are X and Y independent?
Equation transcription:
Text transcription:
f_{x y}(x, y)
f_{x}(x)
E(X)
f_{y \mid 3}(y)
E(Y \mid X=3)
V(Y \mid X=3)
ANSWER:
Solution:
Step 1 of 8:
We have the graphic content quality
Where, high = 0.1 (10 pages)
Moderate = 0.3 (30 pages)
Low = 0.6 (60 pages)
Let X = moderate graphic content quality
Y = high graphic content quality