1.
Let $h \sim CN(0, 5)$ where $h = h_1 + jh_2$. Find $P(h_1 > 2)$ in terms of $Q$ function with positive
arguments.
2.
Consider a scalar AWGN channel: $y = u + w$ where the transmit symbol $u$ takes values $+3$ and $+6$
with probabilities $1/3$ and $2/3$, respectively and $w \sim N(0, 1)$. Determine the MAP decision rule,
and compute its probability of error.