a) : The joint probability function of two continuous random variables X and Y is given by f(x,y) = { 6xy 0 Find the marginal probability distribution function of the random variable of Y, fy(y). b) P(X+Y< 1). 0 < x < 1 and 0

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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Hello there plz solve this math question 

a)
b)
c)
: The joint probability function of two continuous
random variables X and Y is given by
f(x, y) = { 6xy
0
6xy 0<x< 1 and 0 <y<√x
otherwise
Find the marginal probability distribution function of the random
variable of Y, fy(y).
P(X+Y< 1).
Are X and Y are independent;
Transcribed Image Text:a) b) c) : The joint probability function of two continuous random variables X and Y is given by f(x, y) = { 6xy 0 6xy 0<x< 1 and 0 <y<√x otherwise Find the marginal probability distribution function of the random variable of Y, fy(y). P(X+Y< 1). Are X and Y are independent;
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