One Kalman step by hand

$b_{t-1|t-1} = 1.0$, $P_{t-1|t-1} = 0.01$, $Q = 0.0001$, $R = 0.04$, $x_t = 2$, $y_t = 2.3$. (a) Compute $P_{t|t-1}$, $e_t$, $F_t$, $K_t$, $b_{t|t}$ and $P_{t|t}$. (b) Compute the standardised innovation $z_t = e_t/\sqrt{F_t}$. Would a $\pm2$ entry rule trade?