(b) Current gain $\beta = \frac{\Delta i_{c}}{\Delta i_{b}} \Rightarrow \Delta_{b} = \frac{1 \times 10^{- 3}}{100} = 10^{- 5}A = 0.01\ mA$
By using $\mathrm{\Delta}i_{e} = \mathrm{\Delta}i_{b} + \mathrm{\Delta}i_{c} \Rightarrow \mathrm{\Delta}i_{e} = 0.01 + 1 = 1.01mA$