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For Example 4.1, a student calculates P{(X<4)(Y>2)} as follows: Let Z=Y. Then FX,Z(x,z)=1ez,4x(
1ez),0,x>4,z00x4,z0else Thus, P{(X<4)(Y>2)}=P{(X<4)(Z2)}=FX,Z(4,2)=1e2=0.8647 Indicate and
explain where the student made a mistake.

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For Example 41 a student calculates PXlt4Ygt2 as.pdf

  • 1. For Example 4.1, a student calculates P{(X<4)(Y>2)} as follows: Let Z=Y. Then FX,Z(x,z)=1ez,4x( 1ez),0,x>4,z00x4,z0else Thus, P{(X<4)(Y>2)}=P{(X<4)(Z2)}=FX,Z(4,2)=1e2=0.8647 Indicate and explain where the student made a mistake.