(Step-by-Step) Consider two normally distributed random variables, \boldsymbolX and \boldsymbolY, such that μ_X=2 \text and σ_X=5
Question: Consider two normally distributed random variables, \(\boldsymbol{X}\) and \(\boldsymbol{Y}\), such that
\[\begin{aligned} &\mu_{X}=2 \text { and } \sigma_{X}=\mathbf{5} \\ &\mu_{Y}=2 \text { and } \sigma_{Y}=\mathbf{1} \end{aligned}\]
In other words, both variables have the same mean but different standard deviations. Draw rough sketches of the two normal curves on the same graph. Be sure to label your curves.
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