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## Homework Statement

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)

## The Attempt at a Solution

Normally a question like this is fairly straightforward but I'm having trouble understanding how Y is distributed.

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