Now assume that n $=10,$ m $=2,$ and that p $=0\mathrm{.}5$ for both coins. Compute $($exactly$,$

via a formula$)$ and then plot$/$sketch

P

max

i

$|$pbi $$ p$|>$

as a function of $$ in $[0,1].($Note that if n $=10,$ pbi can take only $11$ discrete values, so

your plot will have discrete jumps at certain values as $$ changes.$)$ On the same plot,

show the bound that results from applying the Hoeffding inequality together with the

union bound.

$1$