
#1
Jun912, 08:55 PM

P: 8

1. The problem statement, all variables and given/known data
Let U,Y be independent random variables. Here U is uniformly distributed on (0,1) Where as Y~0.25[itex]\delta_{0}[/itex] + 0.75[itex]\delta_{1}[/itex]. Let X = UY. Find the Cdf and compute P(0≤X≤2/3) 3. The attempt at a solution Normally a question like this is fairly straightforward but I'm having trouble understanding how Y is distributed. 



#2
Jun912, 11:10 PM

Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 11,534

I take that to mean Y is a discrete random variable that assumes the value 0 25% of the time and the value 1 the remaining 75% of the time.



Register to reply 
Related Discussions  
Statistics  difference between joint distribution and joint density?  Calculus & Beyond Homework  1  
Help with joint distributions?  Calculus & Beyond Homework  1  
Deriving Joint Distribution Function from Joint Density (check my working pls!)  Calculus & Beyond Homework  8  
Probability : joint density function of 3 Normal Distributions  Precalculus Mathematics Homework  3  
Joint and conditional distributions  Set Theory, Logic, Probability, Statistics  3 