ion of (X, Y) is larger than the area below the distri at, random variable 5) of (X, Y), for any value between -2 and (X, Y) is a mean preser (X, Y). Using the RS criteria, random w

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Looking at their distribution functions, the area below the distribution function
(X, Y) is larger than the area below the distribution
of
function of
of that, random variable
(MPS) of
(X, Y), for any value between -2 and 2. Because
(X, Y) is a mean preserving spread
(X, Y). Using the RS criteria, random variable
(X, Y) is riskier than
(X, Y).
Transcribed Image Text:Looking at their distribution functions, the area below the distribution function (X, Y) is larger than the area below the distribution of function of of that, random variable (MPS) of (X, Y), for any value between -2 and 2. Because (X, Y) is a mean preserving spread (X, Y). Using the RS criteria, random variable (X, Y) is riskier than (X, Y).
Consider the following two random variables: X has a (continuous) uniform
density on (-2, 2), while Y is a discrete random variable defined by (-2, 2; 1/2,
1/2).
The expected value of X: EX = 0, and the expected value of Y: EY = 0.
Figure 2 presents the distribution functions of X and Y.
Figure 2
F(x), G(y)
1
3/4
1/2
1/4
F(x)
G(y)
x, y
Transcribed Image Text:Consider the following two random variables: X has a (continuous) uniform density on (-2, 2), while Y is a discrete random variable defined by (-2, 2; 1/2, 1/2). The expected value of X: EX = 0, and the expected value of Y: EY = 0. Figure 2 presents the distribution functions of X and Y. Figure 2 F(x), G(y) 1 3/4 1/2 1/4 F(x) G(y) x, y
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