Easy -1.2 This is a straightforward application of the variance addition rule for independent random variables, requiring only recall that Var(X+Y) = Var(X) + Var(Y) when independent, and recognizing that SD=2 means Var(Y)=4. It's simpler than average A-level questions as it's single-step with no algebraic manipulation or problem-solving required.
1 The continuous random variable \(X\) has variance 9
The discrete random variable \(Y\) has standard deviation 2 and is independent of \(X\)
Find \(\operatorname { Var } ( X + Y )\)
Circle your answer.
5111385
1 The continuous random variable $X$ has variance 9
The discrete random variable $Y$ has standard deviation 2 and is independent of $X$
Find $\operatorname { Var } ( X + Y )$\\
Circle your answer.\\
5111385
\hfill \mbox{\textit{AQA Further AS Paper 2 Statistics 2023 Q1 [1]}}