(a) Suppose    X    and    Y    are    independent    random    variables    with    standard    deviations    3    and    2   respectively.        Define        Z    =    X    −    2Y    +    3.        What    is    the    standard    deviation    of    Z? (b) Suppose    X    and    Y    are    Poisson    random    variables.    X    has    a    mean    of    1    and    Y    has    a    mean    of    2.     X    and    Y    are    correlated    with    CORR (X,Y) =    0.5.     What    is    the    variance    of        X    +    Y    ?   (c) refer to the table.   What    is    the    variance    of    the    number    of    cards    held    by    a    person    from    this    group?

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