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Worksheet: Variance of Two Independent Discrete Random Variables

Q1:

Suppose 𝑋 and π‘Œ are independent, V a r ( 𝑋 ) = 2 4 , and V a r ( π‘Œ ) = 3 0 . Determine V a r ( 7 𝑋 + 9 π‘Œ ) .

Q2:

Suppose 𝑋 and π‘Œ are independent, V a r ( 𝑋 ) = 4 , and V a r ( π‘Œ ) = 1 8 . Determine V a r ( 3 𝑋 + 5 π‘Œ ) .

Q3:

Suppose 𝑋 and π‘Œ are independent, V a r ( 𝑋 ) = 9 , and V a r ( π‘Œ ) = 3 6 . Determine V a r ( 5 𝑋 + 8 π‘Œ ) .