Answer: 0.36

The variance of a discrete random variable is calculated using the formula: Var(Y) = E(Y²) - [E(Y)]² **Step 1: Calculate E(Y)** E(Y) = Σ [y × P(Y=y)] = (0 × 0.3) + (1 × 0.6) + (2 × 0.1) = 0 + 0.6 + 0.2 = 0.8 **Step 2: Calculate E(Y²)** E(Y²) = Σ [y² × P(Y=y)] = (0² × 0.3) + (1² × 0.6) + (2² × 0.1) = (0 × 0.3) + (1 × 0.6) + (4 × 0.1) = 0 + 0.6 + 0.4 = 1 **Step 3: Calculate Var(Y)** Var(Y) = E(Y²) - [E(Y)]² = 1 - (0.8)² = 1 - 0.64 = 0.36 Therefore, the correct answer is B) 0.36.

Author: Nikitesh Somanthe