What is the relationship between the number density of free electrons $(n)$ and temperature $(T)$ in a semiconductor?

In the case of a semiconductor,which of the following statements is wrong?

Assertion: If the temperature of a semiconductor is increased,then its resistance decreases.
Reason: The energy gap between the conduction band and the valence band is very small.

This question has Statement $1$ and Statement $2$. Of the four choices given after the Statements,choose the one that best describes the two Statements.
Statement $1$ : $A$ pure semiconductor has a negative temperature coefficient of resistance.
Statement $2$ : On raising the temperature,more charge carriers are released into the conduction band.

Which of the energy band diagrams shown in the figure corresponds to that of a semiconductor?

Although carbon,silicon,and germanium have the same lattice structure and four valence electrons each,their band structure leads to the energy gaps as: