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If variance of x is 5, then find the variance of (2 – 3x)?
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If variance of x is 5, then find the variance of (2 – 3x)?
Calculation of Variance of (2 – 3x)
1. Given:
- Variance of x = 5
2. Formula for Variance:
- Var(aX + b) = a^2 * Var(X)
3. Calculating the Variance of (2 – 3x):
- Let Y = 2 - 3X
- Var(Y) = Var(2 - 3X)
- Var(Y) = Var(2) + (-3)^2 * Var(X) [Using the formula]
- Var(Y) = 0 + 9 * 5
- Var(Y) = 45
4. Conclusion:
- The variance of (2 – 3x) is 45.
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If variance of x is 5, then find the variance of (2 – 3x)?
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