# Joint Distributions

by Eulogy
Tags: distributions, joint
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 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$\delta_{0}$ + 0.75$\delta_{1}$. 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.
 Emeritus Sci Advisor HW Helper Thanks PF Gold P: 11,673 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.

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