Let 𝑋 and π‘Œ be two independent random variables. 𝑋 follows…

GATE Β· 2026 Β· DA Β· Data Science & AI

Let 𝑋 and π‘Œ be two independent random variables. 𝑋 follows π΅π‘’π‘Ÿπ‘›π‘œπ‘’π‘™π‘™π‘–(𝑝 = 0.3) distribution and π‘Œ follows π‘π‘œπ‘Ÿπ‘šπ‘Žπ‘™(πœ‡ = 0, 𝜎² = 100) distribution. Which of the following options is the variance of (2𝑋 βˆ’ 1)π‘Œ?

  1. A.

    100

  2. B.

    90

  3. C.

    49

  4. D.

    21

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