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Joint Distributions

by Eulogy
Tags: distributions, joint
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Eulogy
#1
Jun9-12, 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.
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vela
#2
Jun9-12, 11:10 PM
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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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