PROBLEMS
Random Variables and Distributions
3.1 Let 
. Show the mapping and specify the outcomes for each of the following random variables. (a) 
. (b) 
. (c) 
. If the outcomes of Ω are equally likely, give the cdf FX(x) for each of the three random variables.
3.2 Repeat Problem 3.1 for 
and the following random variables. (a) 
. (b) 
. (c) 
.
3.3 Repeat Problem 3.1 for 
and the following random variables. (a) 
. (b) . (c) . Assume the outcomes of Ω are uniformly distributed in order to find FX(x).
3.4
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