Answer
0.24 mA
Work Step by Step
Use Ohm’s law. The ac output current multiplied by the output resistance equals the ac output voltage.
$$V_{out}=i_CR$$
$$i_C=\frac{V_{out}}{R}$$
We are told the gain of the transistor amplifier and the ac base current, so we can calculate the ac output current.
$$V_{out}=(\beta_V)(V_{in})$$
$$i_C=\frac{V_{out}}{R}=\frac{(\beta_V)(V_{in})}{R}$$
$$ =\frac{(75)(0.080V)}{25\times10^3 \Omega}=2.4\times10^{-4}A$$