A CMOS inverter, designed to have a mid-point voltage $V_{1}$ equal to half of $V_{dd}.$ as shown in the figure, has the following parameters:
$V_{dd}=3V$
$\mu_{n} C_{ox}=100\: \mu A/V^{2}; V_{tn}=0.7\:V $ for $\text{nMOS}$
$\mu_{p} C_{ox}=40\: \mu A/V^{2}; \mid V_{tp} \mid=0.9\:V $ for $\text{pMOS}$
The ration of $\left(\frac{W}{L}\right)_{n}$ to $\left(\frac{W}{L}\right)_{p}$ is equal to _______ (rounded off to $3$ decimal places).
