Answer
1) The lewis structure is drawn the way the molecular formula is written.
2) The dipole moment in C-H bonds is towards carbon and in C-N bond is towards Nitrogen. The molecular dipole is towards nitrogen.
3) The compound has a large dipole moment.
Work Step by Step
1) Three $CH_3$ are drawn attached to N. The lone pairs are drawn on Nitrogen.
2) The dipole moment in C-H bonds is towards carbon because carbon is more electronegative and in C-N bond is towards Nitrogen because nitrogen is more electronegative. The lone pair on nitrogen contributes to dipole moment. The molecular dipole is towards nitrogen.
3) The compound has a large dipole moment.