In the circuit shown, assume that the BJT in the circuit has very high $\beta$ and $V_{B E}=0.7 \mathrm{~V}$, and the Zener diode has $V_{Z}=4.7 \mathrm{~V}$. The current $I$ through the LED is ___________ $\mathrm{mA}$ (rounded off to two decimal places).
