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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