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    Independent random variables

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    1. A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise.
    (a) Find Pr[(X=1)n(y=1)]
    Are X and Y independent random variables?

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    Solution Preview

    Solution. We can get joint cmf as follows

    X 0 1 2 3

    Solution Summary

    This shows how to determine if two variables are independent random variables.