Calculate Var[5X - 2] given Var[X] = (17/8)2.

May 6, 2026Mathematics

ScanSolve AI Answer

May 6, 2026

Answer

a^2 Var[X]$.

Fresh day Prime, let's solve.

Here are the solutions for the variance problems, assuming $\text{Var}[X] = \left(\frac{17}{8}\right)^2 = \frac{289}{64}$ based on your calculations in part (ii).

Part (ii): Calculate $\text{Var}[5X - 2]$

Step 1: Apply the property of variance. The variance of a linear transformation of a random variable $X$ is given by the formula $\text{Var}[aX + b] = a^2 Var[X]$ . For $\text{Var}[5X - 2]$ , we have $a=5$ and $b=-2$ .

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Quick Answer

Fresh day Prime, let's solve. Here are the solutions for the variance problems, assuming Var[X] = ((17)/(8))^2 = (289)/(64) based on your calculations in part (ii).

Asked on May 6, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 6, 2026

Fresh day Prime, let's solve. Here are the solutions for the variance problems, assuming Var[X] = ((17)/(8))^2 = (289)/(64) based on your calculations in part (ii). Part (ii): Calculate Var[5X - 2] Step 1: Apply the property of variance. The variance of a linear transformation of a random variable X is given by the formula Var[aX + b] = a^2 Var[X]. For Var[5X - 2], we have a=5 and b=-2. Var