→5)Two random variables X and Y are distributed according tofx,y(x, y) = {K(x+y),0≤x,y≤1otherwisea) 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 topicsdetermined according to the last digit of your school ID and prepare a detailed report:Last Digit0 & 12 & 34 & 56 & 78 & 9TopicTerrestrial TV BroadcastingFM Broadcast RadioPublic Switched Telephone Network1st Generation Cellular System2nd Generation Cellular SystemYour report should include answers of the following questions for each article and it shouldconsist 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.

Given, continuous probability density function.Concept:We know that total ofallthe probability…

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).

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

Problem 84CR

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