RIMG0045 -...

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Unformatted text preview: P(lX—Y1<3)=P(—3<X-Y<3)=<P(37%E2):—@( J37: = <I>(0.86) — 0(—0.17) = 03720 a.) Let X1 and X2 be the two incomes in dollars. P ( X 00 000 >05,000 — 60,000 10,000/——\/:>10,000/¢§ 1 0.71) = 0.2389 P(X1+X2 > 65, 000) 0 Let X and Y be the younger and older 1,) ns’ 1nc0me respectively. ’ X — Y has the normal(——$20, 000, $14, 1422) distribution. X Y+20, 000 20, )000 P(X>Y)=P(W> = 1 — <I>(1.41) = 0.0793 .‘Cte endence, ' f ". P(mjn(X Y) > 50 000) — P(X > 50 000)P(Y > 50,000) =-(1- @(1))(1- 52K '1 " - ...
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