[Solution] Let X˜N(μ ,σ ^2). Find the values of μ and σ ^2 such that Pr (|X|<2)=1/2 Prove or disprove that there values of μ
Question:
Let \(X\tilde{\ }N\left( \mu ,{{\sigma }^{2}} \right)\). Find the values of \(\mu \) and \({{\sigma }^{2}}\) such that
\[\Pr \left( |X|<2 \right)=\frac{1}{2}\]Prove or disprove that there values of \(\mu \) and \({{\sigma }^{2}}\) are unique.
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