The variance of a random variable multiplied by a constant is the square of the constant times the original variance. In this case, the constant is -4 and the original variance is 0.0487.

Step 1: Square the constant: (-4)^2 = 16
Step 2: Multiply the squared constant by the original variance: 16 * 0.0487 = 0.7782

So, the variance of W = 3 - 4Y is 0.7782.

Question

The variance of a random variable multiplied by a constant is the square of the constant times the original variance. In this case, the constant is -4 and the original variance is 0.0487.

Step 1: Square the constant: (-4)^2 = 16
Step 2: Multiply the squared constant by the original variance: 16 * 0.0487 = 0.7782

So, the variance of W = 3 - 4Y is 0.7782.

Knowee AI · Accepted Answer

The variance of a random variable multiplied by a constant is the square of the constant times the original variance. In this case, the constant is -4 and the original variance is 0.0487.

Step 1: Square the constant: (-4)^2 = 16
Step 2: Multiply the squared constant by the original variance: 16 * 0.0487 = 0.7782

So, the variance of W = 3 - 4Y is 0.7782.

Suppose that 𝑉(𝑌) = 0.0487, find the the variance of 𝑊 = 3 − 4𝑌.

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