Generate $N $=10^4$$ samples for $x$ from $$\backslash$mathcal$\{$N$\}(\backslash$mu$,\backslash$sigma$)$$$,$ where $$\backslash$mu $=3$$ and $$\backslash$sigma $=1$$$.$

$-$ Calculate and print the mean $$\backslash$langle x $\backslash$rangle$ and standard deviation $$\backslash$Delta x$$,$ and compare to $$\backslash$mu$ and $$\backslash$sigma$$.$

$-$ Make a histogram plot for your samples for $x$ using $`$matplotlib$.$pyplot.hist$()`.$

$-$ On the same plot, plot the normal PDF $$\backslash$mathcal$\{$N$\}(\backslash$mu$,\backslash$sigma$)$$ as a function of $x$$.$