It is given that $X\sim N(\mu ,{{\sigma }^{2}})$ and$\mathrm{P}(X6)$ . It

Question

It is given that $X\sim N(\mu ,{{\sigma }^{2}})$ and$\mathrm{P}(X<9)=\mathrm{P}(X>6)$ . It’s also given that $5\mathrm{P}(X<4)=2\mathrm{P}(X<11)$. Find $\mu $ and $\sigma $.

Accepted Answer

$\mu=7.5$, $\sigma=6.18$ (3 s.f.)

Symmetrical Properties Of Normal Distribution Q6

Symmetrical Properties Of Normal Distribution Q6

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