The continuous random variable $X$ has the distribution $N\left( \mu ,{{\sigma }^{2}} \right)$.

Question

The continuous random variable $X$ has the distribution $N\left( \mu ,{{\sigma }^{2}} \right)$. It is known that $\mathrm{P}\left( X<40.0 \right)=0.05$ and $\mathrm{P}\left( X<70.0 \right)=0.975$. Calculate the values of $\mu $ and $\sigma $.[4]

Accepted Answer

$\mu=53.7$, $\sigma=8.32$.

N2011 P2 Q5

N2011 P2 Q5

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