ISYE 2027 Final Questions and Correct
Answers/ Latest Update / Already Graded
Rectangular probability
Ans: F(b,d)-F(b,c)-F(a,d)+F(a,c)
Joint PDF
Ans:
Conditional joint pdf
Ans: Py|x(v | u)=(Px,y(u,v))/Px(u))
Cov(X,Y)
Ans: E[(X-E[X])(Y-E[Y])]=E[XY]-E[X]E[Y]
Correlation coefficient
Ans: Cov(X,Y)/(√var(X)√var(Y))
Covariance linearity
Ans: Cov(aX+b,cY+d)=acCov(X,Y)
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