Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

The information provided is that $X \sim N(30, 49)$, $Y \sim N(30, 16)$ and $Z \sim N(50, 16)$.
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Using one diagram, and with the horizontal axis running from $0$ to $70$, sketch the three curves that show the distributions of $X$, $Y$ and $Z$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: $X$ has mean $30$, and is roughly spread from $10$ to $50$ (or $15$ to $45$)

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