Worksheet: Variance of Two Independent Discrete Random Variables

In this worksheet, we will practice calculating the variance of two independent discrete random variables.

Q1:

Suppose 𝑋 and 𝑌 are independent, Var(𝑋)=24, and Var(𝑌)=30. Determine Var(7𝑋+9𝑌).

Q2:

Suppose 𝑋 and 𝑌 are independent, Var(𝑋)=4, and Var(𝑌)=18. Determine Var(3𝑋+5𝑌).

Q3:

Suppose 𝑋 and 𝑌 are independent, Var(𝑋)=9, and Var(𝑌)=36. Determine Var(5𝑋+8𝑌).

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