(a) Let    F denote    the    cumulative    distribution    function    (cdf)    of    a    uniformly    distributed     random    variable    X.     If    F(2) =    0.3,    what    is    the    probability    that    X    is    greater    than    2 ? (b) Let    F denote    the    cdf    of    a    uniformly    distributed    random    variable    X.    If     F(2) =    0.3,    and    F(3) =    0.6,    what    is F(6) ? (c) 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. whats the variance of X+Y

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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(a) Let    F denote    the    cumulative    distribution    function    (cdf)    of    a    uniformly    distributed    
random    variable    X.     If    F(2) =    0.3,    what    is    the    probability    that    X    is    greater    than    2 ?


(b) Let    F denote    the    cdf    of    a    uniformly    distributed    random    variable    X.    If     F(2) =    0.3,    and   
F(3) =    0.6,    what    is F(6) ?

(c) 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. whats the variance of X+Y

 

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