The voltage gain in a common emitter transistor can be related to the current gain through the following relation:
\[
\Delta I_{out} = \text{Voltage Gain} \times \Delta I_{in}
\]
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Step 1:
The voltage gain is given as 160, and the change in the base current is \( 100 \mu A \). The change in the output current is therefore:
\[
\Delta I_{out} = 160 \times 100 \mu A = 4 \text{ mA}
\]
Thus, the correct answer is \( 4 \text{ mA} \).
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