Problem $3\mathrm{.}4$

A continuously operating coherent BPSK system makes errors at the average rate of $100$ errors per day. The data rate is $1000$ bits$/$s$.$ The single$-$sided noise power spectral density is N$0=1010$ W$/$Hz$.$

$1.$ If the system is ergodic $($statistical averages matches time averages$),$ what is the average bit error probability?

$2.$ If the value of received average signal power is adjusted to be $106$ watt, will this received power be adequate to maintain the error probability found in part $1$