A transistor is used in common-emitter mode in an amplifier circuit. When a signal of 20mV is added to the base-emitter voltage, the base current changes by 20μA and the collector current changes by 2mA. The load resistance is 5kΩ. Calculate
(a) the factor β
(b) the input resistance Rin
(c) the transconductance
(d) the voltage gain