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Standard Deviation

Let 'X' be ra...

Question

Let 'X' be random variable with mean 5 and variance 3. A new random varaibel 'Y' is defined as Y = 5X + 9, then variance of Y is equal to _____
75

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Solution

The correct option is A 75
$σ_{Y}^{2} = (5)^{2} \times σ_{X}^{2} = 25 \times 3 = 75$

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