Joint Distributions

  • Thread starter Eulogy
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  • #1
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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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Answers and Replies

  • #2
vela
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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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