4) Two random variables X and Y are distributed according to fx,y(x, y) = {K(x+y), 0≤x,y≤1 otherwise a) Find K. b) What is the probability that X + Y > 1? c) Find P(X > Y). d) What is P(X > Y | X + 2Y > 1)? e) Find P(X=Y). f) What is P(X > 0.5| X = Y)? g) Find fx (x) and fy (y). h) Find fx (x|X + 2Y > 1) and E(X|X + 2Y > 1).

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.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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5)
Two random variables X and Y are distributed according to
fx,y(x, y) = {K(x+y),
0≤x,y≤1
otherwise
a) Find K.
b) What is the probability that X + Y > 1?
c) Find P(X > Y).
d) What is P(X > Y | X + 2Y > 1)?
e) Find P(X=Y).
f) What is P(X>0.5| X = Y)?
g) Find fx (x) and fy (y).
h) Find fx (x|X + 2Y > 1) and E(X|X + 2Y > 1).
Please select two IEEE Magazine articles about one of the following topics
determined according to the last digit of your school ID and prepare a detailed report:
Last Digit
0 & 1
2 & 3
4 & 5
6 & 7
8 & 9
Topic
Terrestrial TV Broadcasting
FM Broadcast Radio
Public Switched Telephone Network
1st Generation Cellular System
2nd Generation Cellular System
Your report should include answers of the following questions for each article and it should
consist of at least 600 words in total.
a) What are the title of the selected articles? State the names of the authors.
b) What are the main topics of the articles? State the problem discussed in the articles.
c) Explain the selected method/methods for solving the problem in the articles.
d) Explain three main observations & comparisons about the selected method/methods.
Transcribed Image Text:→ 5) Two random variables X and Y are distributed according to fx,y(x, y) = {K(x+y), 0≤x,y≤1 otherwise a) Find K. b) What is the probability that X + Y > 1? c) Find P(X > Y). d) What is P(X > Y | X + 2Y > 1)? e) Find P(X=Y). f) What is P(X>0.5| X = Y)? g) Find fx (x) and fy (y). h) Find fx (x|X + 2Y > 1) and E(X|X + 2Y > 1). Please select two IEEE Magazine articles about one of the following topics determined according to the last digit of your school ID and prepare a detailed report: Last Digit 0 & 1 2 & 3 4 & 5 6 & 7 8 & 9 Topic Terrestrial TV Broadcasting FM Broadcast Radio Public Switched Telephone Network 1st Generation Cellular System 2nd Generation Cellular System Your report should include answers of the following questions for each article and it should consist of at least 600 words in total. a) What are the title of the selected articles? State the names of the authors. b) What are the main topics of the articles? State the problem discussed in the articles. c) Explain the selected method/methods for solving the problem in the articles. d) Explain three main observations & comparisons about the selected method/methods.
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