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Problem 39.27 t A hurricane policy covers both water damage, X, and wind damage, Y, where X and Y have joint density function fxy(x,y) = 0, otherwise. Calculate the standard deviation of X

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Answer #1

To do it we need to know the marginal probability distribution function of X at first. Then we will get the standard deviation with the help of the formula, Variance(X)= E(X​​​​​​2)-(E(X))2. Thus we will compute the E(X) and E(X​​​​​​2) by using the probability distribution function of X.

-0.5%-0-29 0.0%-0-006 e-85-o0e CU o0 0.5x-0 -1-0-4y +0.12 -0.4y 0 06 e2 40 ~ 12 mma (2, 1) - mna [2,0.5 2,土 GO 0.5 2-1)( 2-L) 40 2-1)し F)1 13 2o 160 0-125 CO -6.5ズ3,0-5) - mma (3,1 (3, 0.5 0-5- (3-1).- (3-リー40一て3-1习- 40 (3可 131 26-36-6. + 96 64 0 : 20 960 0-125 960 0.0052 (ho)

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