imo class 12 probability

If the variance of a random variable X is 2, then the variance of (3X + 5) is:

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If the variance of a random variable X is 2, then the variance of (3X + 5) is:

  • A. 11
  • B. 23
  • C. 18
  • D. 6

Answer: C) 18

Explanation: Var(aX + b) = a²Var(X). Therefore, Var(3X + 5) = 3² × Var(X) = 9 × 2 = 18.

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