Answer
a. $sp^2$ OR $sp^2$
b. $dsp^3$
c. $sp^3$
d. $dsp^3$
e. $sp^3$
Work Step by Step
a. The molecule shown has a bent shape, which corresponds to a steric number of either 3 or 4. Because the diagram is not a flat-on view, it is very hard to tell whether the bond angle is slightly less than $109^{\circ}$ which would give a steric number of 4 or slightly less than $120^{\circ}$ which would give a steric number of 3. A steric number of 3 corresponds to a $sp^2$ hybridization, and a steric number of 4 corresponds to a $sp^3$ hybridization.
b. The molecule shown has a seesaw shape, which corresponds to a steric number of 5. A steric number of 5 corresponds to a $dsp^3$ hybridization.
c. The molecule shown has a trigonal pyrimidal shape, which corresponds to a steric number of 4. A steric number of 4 corresponds to a $sp^3$ hybridization.
d. The molecule shown has a trigonal bipyrimidal shape, which corresponds to a steric number of 5. A steric number of 5 corresponds to a $dsp^3$ hybridization.
e. The molecule shown has a tetrahedral shape, which corresponds to a steric number of 4. A steric number of 4 corresponds to a $sp^3$ hybridization.