Consider transmitting $s_1(t),s_2(t)$ and $s_3(t)$ over an AWGN channel with noise

power spectral density $\frac{N_0}{2}.$

$($a$)$ Find the probability of error given that $s_1(t)$ was transmitted, $P(e|s_1)?$

Similarly find $P(e|s_2),P(e|s_3)$ in terms of A and $N_0.$

$($b$)$ Find the probability of symbol error in terms of A and $N_0$ where the symbols

are equally probable.