Laws of Expectation and Variance

Question 1

E( X + c ) = ?

Answer 1

E( X + C ) = E( X ) + c

Question 2

E( aX ) = ?

Answer 2

E( aX ) = aE( X )

Question 3

E( aX + b ) = ?

Answer 3

E( aX + b ) = aE( X ) + b

Question 4

E( X ± Y ) = ?

Answer 4

E( X ± Y ) = E( X ) ± E( Y )

Question 5

V( X + c ) = ?

Answer 5

V( X + c ) = V( X )

Question 6

V( aX ) = ?

Answer 6

V( aX ) = a^2 V( X )

Question 7

V( aX + b ) = ?

Answer 7

V( aX + b ) = a^2 V( X )

Question 8

V( X ± Y ) = ?

Answer 8

V( X ± Y ) = V( X ) + V( Y )