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.
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.