In molecular solids alpha-(BEDT-TTF)(2)I-3, it has been clarified that the gapless state originates from extremely anisotropic massless Dirac fermions described by the tilted Weyl equation. The inter-band effects of magnetic filed and extremely small amount of electron doping give rise to anomalous transport phenomena, i.e. the sharp and continuous reversal of the sign of the Hall coefficient at low temperatures. Among materials having Dirac fermions, alpha-(BEDT-TTF)(2)I-3 has a unique feature of layered bulk structure, where motions of the fermions are highly two-dimensional but have weak inter-layer hopping. In order to study how this unique feature affects the electronic properties, we examine roles of the weak inter-layer hopping in the conductivity, the Hall conductivity, and the orbital susceptibility. It is shown how the sharpness of the sign reversal of the Hall coefficient is reduced by the inter-layer hopping. The sharp sign-reversal observed in alpha-(BEDT-TTF)(2)I-3 can be explained when the inter-layer hopping is comparable or smaller than the effective spectrum broadening.