11.S.4. Suppose that the random variables X and Y have a bivaria te normal pdf with µ.x = 56 ,
µ y = 11.af = l.2,a} = 2.6, and p = 0.6. Compute P( lO >Y >10.5 [ x = 55). Suppose lb.al n = 4 values were to be observed with x fued al 55. Find P (l0.5 >Y 11 I x = 55).
ll.5.5. If the joint pdf of the random variables X and }' is
find E(X), £(Y), Var(X), Var( Y), p( X , Y), and k .
11.5.6. Give conditions on a > 0, b > 0, and u so that
is rhe bivariate normal density of random variables X and Y each having expected value zero. Also, find Var(X), Var( Y), and p( X , Y).
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