It is given that $X$~$N(\mu ,\sigma^{2})$ and $\mathrm{P}(X11)$. It’s a

Question

It is given that $X$~$N(\mu ,\sigma^{2})$ and $\mathrm{P}(X<5)=\mathrm{P}(X>11)$. It’s also given that $4 \mathrm{P}(X<3)=\mathrm{P}(X<13)$. Find $\mu$ and $\sigma$.

Accepted Answer

mu=8, sigma=5.94 (3 s.f.).

Symmetrical Properties Of Normal Distribution Q5

Symmetrical Properties Of Normal Distribution Q5

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