Can the student work? Under what major restrictions? What is the family position where clearly stated?
The official page does not itself state student work rights, but Kenya's Dependant Pass regulation lists only Kenya Citizens, work/residence-permit holders, exempted persons and permanent residents as qualifying sponsors -- Student Pass holders are not among them. This is an inference from an enumerated official list, not a literal negative statement: it is not proof that no other family provision exists for students, only that this specific sponsorship route is not available to them.
See recorded sources
Limits of the record- Whether the student may work is still not addressed by any source found in this pass; only the Dependant Pass sponsorship question was clarified.